+ All Categories
Home > Documents > , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf ·...

, F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf ·...

Date post: 19-May-2020
Category:
Upload: others
View: 0 times
Download: 0 times
Share this document with a friend
35
Transcript
Page 1: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

� ��������� ��� ���� �������� ���� ����� ��������������! ��"#�$��� �% ���&��� �'� (*)��&�+�,�����

-/.10�243658793:51.9;

<>=�?A@CBED�FG=�HIDKJML�NOJMFG?QP:DR=�BTS6U�VW=XHYUZ=

[\V]B_^`V]HYVa@$bcJedWfgDR=XUhYHYV]U\ijHYklDmVnD�P:D�=+@MHYo&SIDm@pDR=rqsHYVnt`=�BRk_VWDuf`v

wxda@CUmy:kEzQP{B_^Qv6[,| }�~I�M�Q�

b�hYJeH{=�����~I�`�K}C�Q�m�l}{���e�:v:�Q@�������~I�I�O}C�Q��u�M�I�e��,��F/@MV]d�@MkR@MHYoYP���U'k���t6DX��=XoYP#�

Page 2: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

�������������

��������������������������� "!��#�%$����'&(����!��*)���!��*+� ,!���&-�� ���.0/1�324+5�#������!��6&�7*��$189 ��5:;��&�����.0/���!��*+� ,<��5����$

+� =������&(��>?�����@&(+� "!��� 0/1+�/��A��������+CB9��:D��!��*+� ��;+52E!����F��+�7�/�!��*+� HGI ��1�FJ5��+C>�!��K!����':;�������L���(M

��+�7*N5��$O/��'�� 1J,�DPQ����&(+� "!��� 0/1+�/��?RQ�57�����S0�6 O��������+��5&-�HT��5 �$O!��1�U&(+���J�/�7���!���+� O<08V�D&(+�7�7*+9&���!��*+�

��������+��5&-�HG# ��1�E:,��!��1+9$VW�!����6 A!����XJ5�� ����'�57H24�'�5:,��>Y+5��SA�'��&(�� Z!�7*8A����+5�[+�����$V<08D!��1�%�5/�!��1+5��G

��1�V$�����&(+� "!��� 0/1+�/��\��������+CB9��:D��!��*+� ]�57�7*+C>^�_<���!�!����,�'������������ "!���!��*+� ��_+52X$�����!��'��<�/1!��*+� ��%>?�*!��

���������`������S9��Gba^/�:,���'��&��57c!�����!��_����N5���57Y!�����!_�5&�&�/1�'��!��O��+�76/1!��*+� ��d&��5 `<[��+5<�!��5�� 1��$`>?�*!��`�

N5����8O��:;�57�7� "/�:U<[���?+52#�'�*)��U<��6 ���G3e^ F��fD&��*�� "!Q��+52g!h>Y���'�d���5&'Si��J5�;e^����+"j0+�7�N5�d>?����&'�O�6:,��7*�(M

:,�� Z!���!��1�%����+5�[+�����$k�57�J5+5�'�*!���:;�l>l�5�?$���N5��7*+5�[��$HG

m@n"oHp\q ��rs�5t e?���'+���+�7uPX89 ��5:;��&���T�PQ���'&(+� Z!��� 0/1+�/��XRQ�57*����S9�� HG

Page 3: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4

5 62798�:�;=<?>?@A8CB�;D7

E,FHGJILK�M�N�O%F�ILP9QRF3ILISPTGVUWFHPTGLXZYJXZO\[�]�GLX^M�P�YJYLPTY9FHGJP`_JP�QDP�GJaZK�b�acF�Y$F?b�P0dfe�GLXHbgILK�PTGLhcK�biP�bkj^K�GJXZb�QDP�bkI/F�O

YlISN�m�KnP�Y�UpoqGJN�ISrTP�b?PTI�sAFHOps�tvu3w\[�syxzPTGLXZYJXZO�Y*b�P�aZF�ISK{jZP�O{|VF�}P�MTI�~gN�Q$FHb�~�P�FHOnIL~���GLPTm�N�M�P�j^K�YLKn��K�OnKnI�|9FHb�m

QDX�m�Kne\|DdyFHGJQ$Knb�a�IS~�GLXZN�aH~�YJM�F�IJISP�GJK�b�aDFHb�m�FH��YLXZGJ]�ISKnXZb�XHeCYJXZO%F�GyGSFHm�K%F�ILK�XZb�s

��X9YJILN�m�|�FHM�MTN�GSF�ILP�O{|�IS~�P�PT}P�MTILY�XHe�F�P�GLXHYLXZOnYzKnI*KnY�b�PTM�PTYLYSF�GJ|�ILX9GLPTYLXZO{jZP�FHP�GJXZYLXZO�bgN�Q���P�GzFHb�m

Q$FHYLYDm�KnYJISGJK���N�ISK�XHb�Y�FHY$F�e�N�b�M0ISKnXZb�X�e�M/~�P�QDK�M�FHO�M�XHQ$]�XZYLK{ISKnXZb`FHb�m�YJK�rTPHs���GLP�F3ISQDP�bkIRX�e-FHP�GJXZYLXHO

]�GJX�MTP�YJYLP�Y$O�P�FHm�Y�ISX�UWF3I�O�P�F�YJI�[�F�b�XZGJm�P�G�XHe�Q$FHaZb�K{ISN�m�P�Knb�M�GJP�FHYJP=K�b�IS~�PVX#jZPTGSFHOnOyM�XZQD]�N�ISF�ISKnXZb�FHO

ILK�QDP�XHe�FHb�FHKnG*�gN�F�O�KnI�|RQ$X^m�PTOp��IS~�K�YAK�YAQ$FHK�b�O{|Rm�N�P�ILXRGJP�]�P�F�ILP�m�O{|�YLXZO{j^K�b�a�IS~�P�FHPTGLXZYJXZO&M/~�P�QDK�YlISGl|

U�XZG2M/~�P�QDK�M�FHOkP��gN�KnO�K���GLK%FZ[�e�XZG2m�Kn}P�GJP�bkI,]�FHGJILK�MTO�P�YLKnr�PTY�s���~�P�GLP0e�XZGLP�IS~�PTGLP�K�Y�FAM�O�P�FHG2b�P�PTm�e�XZG2GLKnaZXZGJXZN�Y��

GJP�O�K�FH��OnP�FHb�m?PT�DM�KnP�bkI-M�XZQD]�N�ISF�ISKnXZb�FHO2ISPTM/~�b�Kn�^N�P�Y�e�XZG�FHPTGLXZYJXZO�YJK�Q�N�O%F�ILK�XZb�YTs���bc]�FHGlISK�MTN�O%F�G���IS~�PTGLP

KnY�F�b�P�PTm�e�XZGzQ$P0IS~�X^m�Y�IS~�F�I-FHMTM�N�GLF�ISPTOn|�YJXZOnjHPDFHP�GJXZYLXZO�m�|^b�FHQDK�M�YzN�YLKnb�aVF9YLQ$FHO�O,b^N�Q��PTG�XHe�YLKnr�P

��Knb�Y�U�m�K�YJM�GLP0ISKnr�F�ILK�XZb�]XZKnbkISY/[���YJN�M/~?IS~�F�IzIS~�P�ILK�QDP�e�XZGzFHP�GJXZYLXHO�M/~�PTQ$KnYJISGl|�M�FHO�MTN�O%F3ISK�XHb�Y�U\dA~�K�M/~?KnY

]�GJXZ]�XZGJILK�XZb�F�OISX�IL~�P-b^N�Q��PTGAXHe���K�b�YS[qK�YAQRF�b�FHaZP�FH��O�P�s

��~�GJP�P�QRF#�JXZG2FH]�]�GJXkFHM/~�PTY�FHGLP�N�YJP�m-ISXAGLPT]�GLPTYLPTbgI�IS~�P�YJK�rTP�m�K�YlISGLKn��N�ILK�XZb�X�e�FHPTGLXZYJXZO�YT &M�XZbkILK�bgN�XZN�YT�

m�KnYLMTGLPTILPDFHb�m¡]�FHGSFHQDPTILP�GJK�r�PTm�s���b�IL~�K�Y-]�F�]PTG-d¢P�e�X�MTN�Y-XZb£MTXZbkISKnb^N�XZN�Y�Q$X^m�P�OnYDU)KWs¤P�sDMTXZbkISKnb^N�XZN�Y

YJK�r�P¢m�K�YlISGJK���N�ILK�XZb�Y,F�b�m�IS~�PqaZPTb�P�GLFHO�m�|�b�FHQ$KnM¢PT�gN�F�ISKnXZb�Y,K�b�M�XZbkISKnbgN�XZN�Y�e�XHGLQR[0s2x�YJN�GJjHPT|�X�e�YLP0jZP�GLFHO

]�XZ]�N�O�FHGybgN�QDP�GJK�M�F�O�Q$P0IS~�X^m�Y�e�XZG�]�F�GJISKnM�OnP�m�|^b�FHQDK�M�PT�^N�F�ISKnXZb�YAK�Y�aZK{jZPTb�KnbV¥�~�FHb�a�PTI�s�FHOpsAt§¦ 4 wWs

¨ P0jZP�GLFHO�FHO�aZXHGLKnIL~�QDY�dqPTGLP¢]�GLXZ]�XZYJP�m�e�XHG�YJXZOnj^Knb�aAM�XkFHaHN�O%F�ILK�XZb�s�©ZFHM�XZ��YLXZb9t 4#ª � ¨ PTMTILK�XZb 4 u�wgm�P0jZPTO{«

XZ]�P�m9IL~�P�YLPTQ$K!«�KnQ$]�OnK�MTKnI�m�KnYLM�GJPTILK�r�F3ISK�XHb9YLM/~�PTQ$P�dA~�KnM/~=M�XZb�YJP�GljZP�YAjZXHO�N�QDP�FHb�m�KnYyN�b�MTXZb�m�K{ISKnXZb�FHOnOn|

]�XZYLK{ISK{jZPyF�b�m�YJISFH��O�P�s���bVtv¬ ª w�dqPy]�GLXZ]�XZYLPTmDF�­�P0d�ISXZb�«®oqXHISPTY��^N�FHm�GSF3ISN�GJP�FH]�]�GJXkFHM/~�e�XZG�YLXZO{j�Knb�a�IL~�P

FHPTGLXZYJXZO2M�XkF�aZN�O%F3ISK�XHb�PT�^N�F�ISKnXZb�s*¯�P�O���FHGLm�FHb�m ¨ P�K�b�e�P�O�m°t 4 ¦�� 4�± � 4 u�w�N�YJP�mcF$MTN���KnM�YL]�O�K�b�P�FH]�]�GLX�²g«

KnQRF�ILK�XZbVXHe�IS~�P�YLXZOnN�ISKnXZb?FHb�m?XHGJIS~�XZaZXZb�F�O�M�XHO�O�X^M�F3ISK�XHb�s�oqN���K�M�YL]�O�K�b�P�YzdAK{IS~?M�XHO�O�X^M�F3ISK�XHb�FHGJP�FHO�YJX

Page 4: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬

N�YJP�m��g|=��YLFHb�aRFHb�m��*K�]�]�PDt��Zu�wWsyE�K�OnK�b�KnY�tv¬Hu�w2N�YJP�Y�F$¯-FHO�PTG��gK�b=FH]�]�GLXkF�M/~�dAKnIL~�OnK�b�P�FHG���FHYJK�Y�e�N�b�M�«

ILK�XZb�YTsC��b?tv¬��#w ¨ FHb�m�N�F�b�m�qXHGLm�PTbRm�P0jZP�OnXZ]�P�m�F�aZP�b�PTGSFHO�e�GLFHQ$P0dqXHG���e�XZG�IS~�P*bgN�QDP�GLKnM�FHO�ILGLP�F3ISQDP�bkI

XHe�FHPTGLXZYJXZO&m�|^b�FHQDK�MTYyIS~�F�IAPTb�M�XHQ$]�F�YLYLPTYz��XHIS~�¯-FHO�PTG��gK�b=F�b�m�MTXZO�OnX�M�F�ISKnXZb$I�|^]�P�QDPTIL~�X^m�Y�s

��~�P�aZGLX#d�IL~�U)MTXZb�m�PTb�YSF3ISK�XHb��PTj�FH]�XZGLF�ISKnXZb�[qP��gN�F3ISK�XHb�KnY*m�K�YLMTGLP0ISK�rTP�mVdAKnIS~VbgN�QDP�GLKnM�FHO&QDPTIL~�X^m�Y

IL~�F�IDYLXZO{jZP=IS~�P�FHm�jHP�MTILK�XZb�P��gN�F�ILK�XZb�s oq����� ��x���«�xz��� N�YLPTY$IS~�P��qX�ILI$YLM/~�PTQ$P°t ± wWs���K�Q FHb�m

¨ PTK�b�e�PTO�m¡t¤¬ 4 w2N�YLP�FDjHP�GLYJK�XZb�XHe�QDX#j�Knb�aDYLP�M0ISKnXZb�FHO&QDPTIL~�X�m�sy��b���x��=«�x������ FHb�m ¨ x����=«�x�� ���

tv¬Z¬�w�F�¯�X�m�N�b�X#jg«pI�|^]P�YJM/~�P�QDP�K�Y¢P�QD]�O�X#|HP�m��^dAKnIS~�QDX#j^K�b�a���K�b9��XZN�b�m�FHGLKnP�YTs�©ZFHM�XZ��YLXZb�t 4! w�FHO�OnX#dAY

IL~�P�QDP�F�b�]�F�GJISKnM�OnP�YLK�rTP�YDISX�aZGLX#d-s#"£P0²�O�PTGRF�b�m�MTX�«'d¢XZG$�HP�GJY9]�GJXZ]XHYLP�m�bgN�Q$PTGLKnM�FHO�YJM/~�P�QDP�YDe�XZG

MTXZb�m�PTb�YSF�ILK�XZb°FHb�m¡P0j�FH]XHGSF�ILK�XZb�XHeAFHPTGLXZYJXZO�YRt�� ª wWsV��YLFHb�acFHb�m%��Kn]�]�P�t��Zu�w�ISGJP�F�I�aZGLX#d�IL~¡dAKnIL~°F

QDX#j�Knb�a�&�b�K{ISPAP�OnP�QDP�bkI�ISP�M/~�b�K��gN�P�s�x ¯-FHO�PTG��gK�b�QDPTIL~�X�m�dAKnIL~$OnK�b�P�FHGC��F�YLK�Y�K�Y�PTQ$]�O�X#|ZPTmR�k|DE�K�O�Knb�K�Y

tv¬Hu3wWs('�FH�m�N���F�b�m�MTX�«'d¢XZG$�HP�GJYz]�GJXZ]�XZYLPTm�F��gN�K�bkISKnM-YL]�OnK�b�P-FH]�]�GLXkF�M/~�t ª w�FHb�m�FDYJP�QDK{«*)�F�aZGSFHb�aZK%FHb

+ N^²�FH]�]�GJXkFHM/~Rt 4-, wWs.'�Kn}P�GJP�bkI&YJXZO�N�ILK�XZb�Y&XHe�IL~�P�aZGJX�d�IL~�PT�gN�F�ISKnXZb�Y&d¢P�GLP�]�GJXZ]�XZYLPTm�KnbRt���� 4- ��¬ 4 �#¬Z¬3wWs

oqXZQD]�GLPT~�P�b�YLKnjHP�QDX�m�PTO�Y�dqPTGLP�m�PTjZPTO�XZ]�P�m ILX¡ISGJP�F�I9FHP�GJXZYLXHO�m�|^b�F�Q$KnM�YDK�b�MTXZb3�JN�b�MTISKnXZb�dAK{IS~

XHIL~�P�G�]�GLX^M�PTYLYJP�Y�O�K/�HP$M/~�P�QDK�YlISGJ|���ILGSFHb�YJ]XHGJI�F�b�m°GSF�m�K%F�ILK�XZb�s���²�FHQD]�O�PTY�K�b�M�O�N�m�PDIL~�P9QDX�m�P�O�Y�XHe

©ZFHMTXZ��YJXZb�Up¯�x������-��t 4! w\[��gE�FHb�m�K�Y���"£P0²�OnP�G�FHb�m ¨ P�Knb�e�P�OnmVt0�1�#wp�2�VP�b�a��3'�F��m�N���FHb�m ¨ P�Knb�e�P�Onm=tv¬�¦HwW�

"£P0²�O�PTG*FHb�m=M�X�«pdqXHG��HPTGLY�t0� ��¦ , wW��PTILMHs

��b�IL~�K�Y*]�FH]�P�GAd¢P�m�P0jZP�OnXZ]?F�e)FHQ$KnOn|$XHe�QDPTIL~�X�m�YAe�XHG�YJXZOnj^K�b�aDIL~�P�F�P�GLXHYLXZO2m�|^b�FHQDK�M-PT�^N�F�ISKnXZb�Y

e�XZOnO�X#dAK�b�azIS~�PAaZPTb�P�GLFHO�e�GSFHQDPTd¢XZG$��]�GLXH]XZYJP�mD�k| ¨ FHb�m�N$FHb�m4�qXZGJm�P�b�t¤¬5��w�e�XZG�IS~�P*bgN�QDP�GJK�M�FHO�ISGJP�F�Il«

QDP�bkI*XHe�F�P�GLXHYLXZO2m�|^b�FHQDK�MTY�s���~�P�b�PTd FH]�]�GLXkF�M/~�K�YA��F�YLP�m�XZb�]�K�P�MTPTdAKnYLP�]XZO{|^b�XZQDK%FHOFH]�]�GJX�²�KnQRF�«

ILK�XZb�Y�X�e,IL~�P-YLXZOnN�ISKnXZb���FHb�mVKnY�Q$X�ISKnj�F�ILP�m=�k|9IS~�P6'�KnYLMTXZbkISK�bgN�XHN�Y�¯�FHOnP�G$�^Knb�Q$P0IS~�X^m=XHeCoqX�M7�g��N�GJb��

¨ ~gN���P0I�s�FHOWsAt8�^� wps." ~�F�I*m�K�YlISK�b�aZN�K�YJ~�P�YyIL~�K�YAF�]�]�GLXZFHM/~Ve�GJXZQ IL~�P-Q$P0IS~�X^m�YA]�GJPTj^K�XZN�YLOn|R]�GLXH]XZYJP�m

KnY-IL~�P�e)FHMTI-IS~�F�I-IS~�PD]�FHGlISK�MTO�P�YJK�r�PDm�KnYJISGJK���N�ISK�XHb?K�Y�FH]�]�GJX�²�KnQRF3ISP�m��k|�FVm�K�YLMTXZbkISKnb^N�XZN�Y-e�N�b�MTILK�XZb�s

��~�KnYqF�O�O�X#dAY�F�Q$XZGJP*FHM�MTN�GSF�ILPH�^O�PTYLY�m�Kn}N�YLK{jZP*GLPT]�GLPTYLP�bkISF�ISKnXZb9XHe�]�FHGJILK�MTO�P�m�KnYJISGJK���N�ISK�XHb�Y�dAKnIS~DYL~�FHGL]

Page 5: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� �

]�P�F5�gY�dA~�PTb�F�YLQ$FHO�O�b^N�Q��PTGAXHe�YJK�rTP���K�b�YAKnY�P�QD]�O�X#|ZPTm�s

��~�P�m�K�YLMTGLP0ISK�r�F�ISKnXZb`]�GLX^M�PTm�N�GLP�K�YD]�GLPTYLP�bkILP�m K�b`IS~�P�M�XZbkISP�²^I�XHe-YLKnb�aZOnPVMTXZQD]XZb�P�bkI9]�F�GJISKnM�OnP

]�XZ]�N�O�F�ISKnXZb�Y&m�PTYLMTGLK���P�m��g|�bgN�Q���P�G�m�P�b�YLKnILK�PTY��k��N�I,KnI�M�FHb���P¢m�KnGLPTMTISO{|-P0²^ISPTb�m�PTm�ISXzQ$FHYJY,XZG2jZXHO�N�QDP

m�PTb�YLK{ISKnP�YAFHb�mVQ�N�O{ISKn]�O�P�M�XZQD]XHb�P�bkI*]�FHGlISK�MTO�PTY�s

��~�P�]�F�]PTG�K�Y�XHGLakFHb�K�r�PTm�FHY�e�XZOnO�X#dAY�s ¨ P�MTILK�XZb`¬V]�GLPTYLP�bkILYDIL~�P9]�FHGlISKnM�O�P$m�|^b�FHQDK�M$P��gN�F�ILK�XZb�YTs

¨ PTMTILK�XZb6��m�PTjHP�O�XH]�Y�IL~�P�]�K�PTM�PTdAKnYLP�]�XZOn|^b�XZQDK%F�OZFH]�]�GLXkFHM/~-ISXAIS~�P�m�K�YLMTGLP0ISK�r�F�ISKnXZb-XHe�FHP�GJXZYLXZOkm�|�b�FHQ$KnM

PT�^N�F�ISKnXZb�s ¨ P�M0ISK�XHb�¦�e�X�MTN�YLPTY�XZbVYLX�e\I�dyFHGJP�FHYJ]PTMTILY�s�­*N�Q$PTGLKnM�FHO&GJP�YLN�OnISY*FHGJP�]�GLP�YJP�bkISPTm�K�b ¨ PTMTISKnXZb

± ��FHb�mVM�XZb�MTO�N�YJK�XZb�Y�K�b ¨ P�M0ISKnXZb�u�s

� ����� ����7���:�� ����:C8�B�@��� ���V7���� B�@ ����>���8CB�;D7��bcIS~�KnY�]�FH]�P�G�IL~�P�M�XZbkISKnbgN�XZN�Y�]�FHGlISK�MTO�P�YJK�rTPDm�K�YJILGLKn��N�ISKnXZb�Y�F�GLP�M�XHb�YLKnm�P�GJP�m£e�N�b�MTILK�XZb�Y�X�eq]�F�GJISKnM�OnP

jHXZO�N�QDP�U���[qFHb�m9ILK�QDP�U��J[�s���XZGqYJK�QD]�O�KnM�KnI�|�d¢P�M�XHb�YLKnm�P�G�YJK�b�aZOnPzMTXZQ$]�XZb�PTbkI�]�FHGlISK�MTO�PTY�����N�IyIS~�P�m�K�Y®«MTGLPTILK�r�F�ISKnXZb�ISPTM/~�b�K��gN�PTY¢M�FHb��PAm�KnGLPTMTISO{|�aHP�b�PTGSFHOnK�r�PTm�ISX-Q�N�O{ISK�]�O�P�M�XZQD]XHb�P�bkISYTs���~�PAYLKnr�P�m�KnYJISGJK���N^«

ILK�XZb�e�N�b�MTISKnXZb�U)bgN�Q���P�G�m�PTb�YLK{I�|�[�X�e�F�e)FHQDK�O{|-XHe�]�FHGJILK�M�OnP�YCdAKnO�O���P�m�PTb�XHISPTm$�k|��CU��! "�J[0�kIL~�P�bgN�Q���P�GXHeq]�FHGlISK�MTO�PTY�]�P�G�N�b�K{I�jHXZO�N�Q$PDXHe�F�K�G�dAKnIL~£IS~�PDjHXZO�N�QDPD�P0I�dqPTP�b#�?FHb�m$��%'&(�?K�Y)��U��! "�J[*&(�iU�&+�KnY�FHb�Knb &�b�K{ISPTYLK�Q$FHO2K�b�M�GLPTQ$PTbkI�[0sz��~�K�Y�m�P�YJM�GLKn�PTY�M�XZQD]�OnPTISPTOn|�FR]�XZ]�N�O�F�ISKnXZbVXHe�YLKnb�aZO�P�«�MTXZQ$]�XZb�PTbkI

]�F�GJISKnM�OnP�Y�s ¨ KnQ$KnO%FHGAe�XZGLQ�N�O%F�ILK�XZb�Y�M�FHbc�P�aZK{jZPTb�Knb?ISP�GJQ$YzXHe¢jHXZO�N�Q$P���YLN�Gle)FHM�P��2XZG�QRF�YLY�m�PTb�YLK{ISK�PTY

tv¬Hu3wWs���~�P-jZXZOnN�Q$P�m�P�b�YJKnI�|�KnY-,-U��! "�J[�./�+�CU��! "�J[0s��~�P�F�P�GLXHYLXZO^]XH]�N�O%F3ISK�XHb�N�b�m�P�GJaZX^P�Y�F*YLP�GJK�PTY�XHe�]�~g|^YJK�M�F�O�FHb�m�M/~�P�QDK�M�FHOkISGSF�b�YJe�XZGJQRF3ISK�XHb�Y&dA~�K�M/~

OnP�FHm�ISX�M/~�F�b�aZP�Y*K�b=bgN�Q���P�GAm�PTb�YLK{I�|=FHMTM�XZGJm�K�b�a�ILX�t 4 ¦Hw

0 ��U��! "�J[0 � . 1 0 t32U���[4��U��! "�J[®w65 0 � U 4 [

% 4¬87:9;$< 9>=+?A@ ? ��U��B1#CD "�J[E�CU�CB *�J[*&(CF1#�CU��! "�J[ 7�G; < 9>@ ? �CU�CD "�J[*&(C

Page 6: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¦

%��AU��A *�J[ 1���U��! "�J[ �CU��! "�J[ ��U��A *��. , [�. � ; U���[ ��U��:. , "�J[. ,��

��~�P�m�Kn}P�GLPTbkI�ISP�GJQ$Y�K�b�P��gN�F3ISK�XHb U 4 [�m�PTYLMTGLK���PH��Knb�XZGLm�PTG���IS~�P�Q$X^m�K/&�M�F�ILK�XZb£K�b¡IL~�P�bgN�Q���P�G�XHe

]�F�GJISKnM�OnP�Y�m�N�P�ILXVaHGLX#d�IS~���M�GJP�F�ILK�XZbcXHe¢]�FHGlISKnM�O�PTY�XHe�jZXZOnN�Q$P:���k|cM�XkFHaHN�O%F�ILK�XZb���O�XHYLY-XHe�jZXZOnN�Q$P:�]�F�GJISKnM�OnP�Y�m�N�P�ISXVM�XZFHaZN�O�F�ISKnXZb��&K�b�M�GLP�FHYLP�Knb£]�F�GJISKnM�OnP�b^N�Q��PTG-m�N�P�ISXVYLXZN�GJM�PTY�U)bgN�MTO�P�F�ISKnXZb��2P�QDK�Y®«

YJK�XZb�YS[DF�b�m�m�PTM�GJP�FHYJP�m�N�PVISX�m�P�]�XZYJKnISKnXZb�YTs���PTGLP 2U��A *�J[ . &(� 5 & ��KnYDIL~�P�]�FHGJILK�M�OnP=aZGLX#d�IS~�GSF�ILP

U�m�N�P-ISXDM�XZb�m�P�b�YLF�ISKnXZb��P0jHF�]XZGLF�ISKnXZb�[yFHb�m < 9>@ ? . < ? @ 9 KnYAIL~�P-M�XkF�aZN�O%F3ISK�XHb ��P�GJb�P�O2e�N�b�M0ISK�XHb�sq��~�KnYKnbgILP�aZGJX�«�m�Kn}P�GLPTbkISK%F�OHP��gN�F3ISK�XHb�KnY�YJN��^�JPTMTICILXzFAYL]�P�MTK/&�PTm�K�b�KnISK�FHOHMTXZb�m�K{ISKnXZb)� ; U���[���F�b�m�ILX*IL~�P¢��XZN�b�m�«FHGl|9MTXZb�m�K{ISK�XHbVX�e�b�X�rTP�GLX3«'jZXHO�N�QDP�]�FHGlISK�MTO�PTY�s

��bV]�GSFHM0ISKnM�P�XZb�P-F�YLYLN�Q$PTY*IL~�F�I�IS~�P�]�FHGJILK�MTO�P�]�XZ]�N�O�F�ISKnXZb9~�F�Y�F�b�XHb�r�PTGLXDQ$Knb�K�Q$FHO�jZXZOnN�QDP-FHb�m

F�&�b�K{ISP=Q$F3²�K�Q$FHO¢jHXZO�N�QDPH��KpsvPHs�IL~�P=m�|^b�FHQDK�M�P��gN�F3ISK�XHb�KnY�YLXZO{jZP�m�XZb�F�&�b�KnILP=jHXZO�N�Q$P�KnbgILP�GljHF�O

t���� � ���������wpsD­*XHISP�IS~�F�I-IS~�KnY�PT�gN�F�ISKnXZbcK�Y-b�XVO�XZb�aZP�G�YJP�One%«'M�XZb�YLK�YlISPTbgI��,e�XZG����� ������� ¬���� ��IL~�P

N�]�]PTG�KnbgILP�aZGLF�ISKnXZb�O�K�QDKnIzK�Y-YLQ$FHOnO�P�G�IL~�FHb�IS~�P$O�X#dqPTG�KnbkISP�aHGSF�ILK�XZbcO�KnQ$K{I�K�bcIS~�P$]�XZYLK{ISK{jZPDM�XkFHaHN�O%F3«

ILK�XZbVISP�GJQ���d¢P�IS~�PTGLP0e�XZGLP�KnbkISGLX^m�N�MTP�IL~�P�MTXZbkjZP�bkILK�XZb�IL~�F�IzIL~�P�]�XZYLK{ISK{jZP�M�XkFHaHN�O%F�ILK�XZb�ILP�GLQ K�Y*r�PTGLX

dA~�PTb�PTjHP�G*IS~�P-N�]�]�P�GAOnK�QDKnI¢K�Y�YLQ$FHOnO�P�G¢IS~�FHb�IL~�P-O�X#dqPTGAK�bkISPTaZGSF�ILK�XZb�OnK�QDKnI�s

E�F�GJISKnM�OnP¢YJK�r�PTY,YJ]�FHb�XHGLm�PTGLY�X�e�QRF�aZb�KnILN�m�P��HFHb�m�ISX�GLP0jZP�F�O�IS~�P¢]�F�GJISKnM�OnP�m�K�YJILGLKn��N�ISKnXZb-O�XZaZFHGLK{IS~�QDK�M

MTX�XZGJm�K�b�F�ISPTYAFHGLP�]�XZ]�N�O�FHG�s��'e�d¢P�m�PTb�XHILP

� . O�XZa�� ��. O�XZaC� ���� ��. O�XHa���� �: ��������. O�XZa��������: UW¬Z[

IL~�P-m�|^b�FHQDK�M�P��gN�F3ISK�XHbVKnb=b^N�Q��PTGAm�P�b�YJKnI�|9e�XHGLQ�N�O�F�ISKnXZb9��P�MTXZQ$PTY

0 ��U � "�J[0 � . 1 � = ! 0 t 2U � [4�CU � "�J[�w 5 0 � U �k[

% 4¬)7 " #%$�&('�) = '+*-,/. 0213 ,/. 0 < " #%$�&(' ) = '�451 @ 6 ��U)OnXZa�U+� ! 17� 6 [ *�J[E��U8� *�J[5� 6 &/�

Page 7: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ±

1 �CU � "�J[ 7 3 ,����3 ,/. 0 < ! @ 6 ��U8� "�J[ � 6 &/�%��AU � "�J[ 1���U � "�J[ �CU � "�J[ �CU � , [ . � ; U � [ ��U ���� � "�J[�. , �

oqXZQD]�O�P�²DQ$X^m�PTO�Y�ISGLP�F�I¢]�FHGJILK�MTO�P�Y�M�XHQ$]�XZYLPTmRXHe�Q�N�OnILK�]�OnP�M/~�P�QDK�M�FHO�M�XZb�YlISK{ISN�PTbgILY�s�)&PTI � � U��! "�J[��� . 4 ������ ��P�IS~�P�jZXHO�N�QDP=XHe�IS~�P � «'IS~�M/~�P�QDK�M�FHOAM�XZQD]�XZb�P�bkI$K�b�]�FHGJILK�MTO�P�Y�XHezjZXZOnN�Q$P � .� ������ � � s ��~�P�Q�N�O{ISK{«'M�XZQD]�XZb�P�bkIDFHPTGLXZYJXZO*]XZ]�N�O%F�ILK�XZbiKnY$m�PTYLMTGLK���P�m��k|iIS~�P�K�b�m�Knj^K�m�N�FHOyjZXHO�N�QDP

m�PTb�YLK{ISKnP�YyXHe�P�FHM/~�MTXZb�YlISKnILN�P�bkI , � U��! "�J[�./� � U��! "�J[4��U��A *�J[0��IL~�P�ISX�I/FHO�jZXZOnN�Q$PzXHe�M�XZQD]XHb�P�bkI � U�]PTGN�b�KnI�jZXHO�N�QDP�XHe�FHK�GS[�M�XZbkI/F�K�b�PTm$Knb�FHO�O�]�FHGJILK�M�OnP�Y�~�F�j^K�b�a�Knb�m�Knj^Knm�N�FHO^jZXZOnN�Q$PTY��P0I�dqPTP�b ��FHb�m �% &+�KnY-, � U��A *�J[*&(��s���~�P�ISXHISFHO�]�FHGlISKnM�O�P�jZXZOnN�Q$P�m�P�b�YJKnI�|=K�Y

,-U��! "�J[�. �������, � U��! "�J[ �

��~�PAM�XHb�m�P�b�YSF�ILK�XZb�3PTj�FH]�XZGSF�ILK�XZb�GLF�ISP�X�e�YJ]PTM�K�PTY � K�Y 2 � U��! "�J[.�&(� � 5 & ���gFHb�m�IL~�PyISXHISFHO�]�F�GJISKnM�OnPaZGJX#d�IS~VGSF�ILP�K�Y-2�. � � ����� 2 � s��'I*K�Y�MTN�YJILXZQ$FHGJ|9ILX�N�YLP�IS~�P�YJM�FHOnP�mVaZGLX#d�IL~�GLF�ISPTY

� � U��! "�J[. 2 � U��! "�J[� ��U��! "�J[ . �������

� � U��! "�J[ ���b�m�P�GcIS~�PTYLPiISGLFHb�YJe�XHGLQ$F�ISKnXZb�Y�IL~�P`jHXZO�N�Q$P�m�PTb�YLK{ISKnP�YcXHe9P�FHM/~ MTXZb�YlISKnILN�P�bkI , � U��! "�J[0� � .

4 ������ M/~�FHb�aHP�F�M�M�XHGLm�Knb�a�ISX�t 4 ¦���¬Hu3w

0 , � U��! "�J[0 � . U�¦g[

U)aZGJX�d�IL~�[ � � U��! "�J[4,-U��A *�J[ 1 00 � t3����U��! "�J[4, � U��! "�J[®wU)MTXkFHaZN�O%F�ILK�XZb�[ % 7 9; < 9>=+? @ ? , � U��D1$CB *�J[4,-U�CD "�J[

&(CC 1$, � U��! "�J[ 7 G; < 9>@ ? ,-U�CB "�J[&+CC

U�YLXZN�GLM�PTY/[ % � � U��! "�J[U)m�PT]XHYLKnILK�XZb�[ 1 ��U��! "�J[4, � U��! "�J[U)M/~�P�QDK�YJILGJ|�[ %�� ��� , � ������ ", � *���� � . 4 ������� � �

Page 8: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� u

��~�PTYLP K�bkISPTaZGLX3«�m�K{}�PTGLP�bkILK%FHOP��gN�F�ILK�XZb�Y�FHGJP�MTXZN�]�OnP�m=IS~�GJXZN�aZ~VIS~�P-ISXHISFHO�jZXHO�N�QDP-m�P�b�YJKnI�| ,-U��! "�J[FHb�m�IS~�P�M/~�P�QDK�M�FHO,FHb�m�IL~�P�GJQ$X^m�|^b�FHQDK�M�FHO&ISGSF�b�YJe�XZGJQRF3ISK�XHb=ILP�GJQ �iU�, � ������� , � "�J[�sz��~�P�Yl|^YJISPTQU�¦g[qK�Y�YJN��^�JP�M0I�ILXDIL~�P-K�b�K{ISK�FHO�FHb�mV�XZN�b�m�FHGl|�M�XZb�m�KnILK�XZb�Y

, � U��! "��. , [. U�, � [ ; U���[ , � U��:. , "�J[. , � . 4 ������ � � U ± [

��b�IL~�K�YA]�F�]PTGAd¢P�m�X$b�X�I�MTXZb�YJK�m�PTG*IL~�P-M/~�P�QDK�M�FHO&ISP�GJQ$YTs¢��b�O�XZaZFHGLK{IS~�QDK�M�M�X^XZGLm�Knb�F�ILP�Y�Up¬H[yIL~�P

m�|^b�F�Q$KnM�P��gN�F�ILK�XZb£U)¦k[ � U ± [q�PTM�XZQDP�Y

0 , � U � "�J[0 � . � � U � "�J[4,-U � *�J[1 ��U � "�J[4, � U � *�J[ 1 00 � t ��U � "�J[4, � U � "�J[�w U)uk[

% 7 " #%$ &(' ) = ' * ,/. 0213 ,/. 0 < " #%$�&(' ) = ' 4 1 @ 6 , � U)OnXZa�U+� ! 1�� 6 [ "�J[ ,-U �A "�J[4&/�1�, � U � "�J[ 7 3 ,����3 ,/. 0 < ! @ 6 ,£U �A "�J[ &/�% � � U � *�J[ 1 ��U � "�J[4, � U � "�J[ � . 4 ������� � dAK{IS~�IS~�P-Knb�KnILK%FHOFHb�m=��XZN�b�m�F�GJ|�MTXZb�m�K{ISK�XHb�Y

, � U � "��. , [. U�, � [ ; U � [ , � U � . ���� � *�J[ . , � . 4 ������ � U �Z[

­*XHISP�IS~�F�IAm�N�P-ISX�IS~�P &�b�KnISP�YJK�rTP�GLFHb�aZP�FHb�FHm�m�KnISKnXZb�FHO�XHN�b�m�FHGl|�M�XHb�m�KnILK�XZb9e�XHG�, � U � . ������� "�J[KnY�b�P�MTP�YLYLFHGJ|=dA~�PTb�YJK�Q�N�O�F�ISKnb�a�P0j�FH]XHGSF�ILK�XZb�U�aZGLX#d�IS~=dAKnIL~=b�P�akF3ISKnjHP �?[0s

� � B���@ ��� B�� � � ; �V7�; � B ��/� B���@�:�z8CB�� ��8�B�;D7���XZOnO�X#dAK�b�a-IS~�P�aZP�b�P�GSF�O�FH]�]�GLXkFHM/~9d¢P�m�P0jZP�OnXZ]�P�m��k| ¨ F�b�m�N=FHb�m �¢XZGLm�PTb�t¤¬5�3wp�^IS~�Pzm�|^b�FHQDK�MzPT�gN�F3«ILK�XZb�KnY�YLXHOnjZPTmc�g|�F�YLP�QDK{«'m�K�YJM�GJPTISKnr�F�ILK�XZbVK�b?]�FHGJILK�M�OnP�YJK�r�P�e�XHO�O�X#d¢P�m��k|�F�ILK�QDP�KnbgILP�aZGLF�ISKnXZb�X�e�IL~�P

GJP�YLN�OnISKnb�a�YJ|^YJILP�Q X�e�XZGJm�K�b�F�GJ|im�K{}�PTGLP�bkILK%FHOAP��gN�F3ISK�XHb�Y�s ��b�IL~�K�YDYLPTMTISKnXZb�d¢P���GJK�P + |iXZN�ILO�K�b�P=IL~�P

Page 9: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� �

FH]�]�O�KnM�F�ILK�XZb�XHe�IS~�KnY¢m�KnYLMTGLPTILK�r�F�ISKnXZb�e�GSFHQDPTd¢XZG���e�XHG¢]�KnP�MTPTdAK�YJP�]�XZO{|�b�XZQ$K�FHO���F�YLK�YTs��XZG�Q$XHGLP*m�PTISFHK�OnYIL~�P-GLP�F�m�P�GAYL~�XZN�O�m=MTXZb�YLN�OnI�t¤¬5�3wps

��XZG9YJK�QD]�O�KnM�KnI�|iX�e�IL~�P?]�GJP�YLPTbkI/F�ILK�XZb K�b IL~�K�YRYLP�M0ISKnXZb�dqP?m�KnYLMTN�YLY�IS~�P?m�K�YJM�GLP0ISKnr�F�ILK�XZb X�e�IL~�P

m�|^b�F�Q$KnM¢PT�^N�F�ISKnXZb=U �Z[�K�b�IS~�P�jZXZOnN�QDPqm�PTb�YLK{I�|Z�ZOnXZakFHGJKnIS~�Q$KnMCe�XZGLQ�N�O%F�ILK�XZb�s "£PqPTQ$]�~�FHYLKnr�P¢~�X#dqP0jZP�G

IL~�F�I�IS~�P�m�K�YJM�GLP0ISKnr�F�ILK�XZbDQ$P0IS~�X^mDK�Y�jZP�Gl|RaHP�b�PTGSFHOFHb�m$M�FHb9��PzP�FHYLKnOn|�F�]�]�O�KnP�m�ISX�jZXZOnN�Q$P�FHb�mRQRFHYJY

m�PTb�YLK{ISKnP�YAFHY�d¢P�O�O2F�Y*Q�N�OnILK�]�OnPzM�XHQ$]�XZb�PTbgILY�s

��~�P &�b�K{ISP=O�XZa�jHXZO�N�Q$P=K�bkILP�GJj�FHO�KnY�m�Knj^Knm�P�m`K�bkISX�����K�b�Y�2�� . t ���� 5������ � wWs���~�P�]�XZK�bkI ����KnY�IS~�P��XZN�b�m�FHGl|¡]�XZK�bkI���PTI�d¢P�PTb`IL~�P9��Knb�Y�2� = � FHb�m#2�3�CdAK{IS~¡IL~�P�P�b�m�]XHK�bkISY � �� . ���� �9FHb�m

� � � � . ���� ��s���~�P�MTP�bkISPTGzXHeC��K�b 2���K�YAm�PTb�XHILP�m��k| ���3s���~�P�YLXZOnN�ISKnXZb=K�Y*GLPT]�GLPTYLP�bkILP�m?�k|�F �g«pIS~XZGJm�P�G�]�XZOn|^b�XZQDK%F�O�K�b�YJK�m�PAP�FHM/~9��Knb 2��#s���~�P�]XHOn|^b�XZQDK%FHOnYCK�bDm�K{}�PTGLP�bkIq��K�b�Y�m�X�b�XHI¢b�P�PTmRISX�YSF�ILK�YJe\|FHbk|�MTXZbkISK�bgN�K{I�|�M�XZb�m�KnILK�XZb�Y�F�M�GLXHYLY���K�bD�XHN�b�m�FHGJK�PTY��gIS~�PTGLPTe�XHGLPAIS~�KnY�GJP�]�GJP�YJP�bkI/F�ILK�XZb$XHe�IL~�P*YLXZOnN�ISKnXZb

KnY�XZb�On|R]�K�PTM�P0dAK�YLP-MTXZbkISK�bgN�XHN�Y�s

��~�P�]XHOn|^b�XZQDK%FHO�GLPT]�GLPTYLP�bkISF�ISKnXZb Knb�YLKnm�PcP�FHM/~ ��K�b K�Y�dAGJKnILILP�b K�b ISPTGLQDYVX�e�IS~�P£XZGlIS~�XHaZXZb�FHO

)2FHaZGLFHb�aZP���FHYJK�YR]�XZO{|�b�XZQ$K�FHO�YTs���~�P�YJPTI�XHe )2FHaHGSFHb�aHP�]�XZOn|^b�XZQDK%F�O�Y�N�] ILX°XZGLm�P�G�£m�P &�b�P�m XZb

t 1 4 4 w&GJP�FHm�Y� ; U � [�. 4 � � U � [�. � ����U � [�. 1 4¬ % � �

�¬ ����U � [�. 1 � �¬ % ± � �

¬ �

��b�YJK�m�P-��Knb 2��IS~�P�YJXZO�N�ISK�XHb�K�Y�GLPT]�GLPTYLPTbgILP�m?F�Y,��^U � *�J[ . ��� � ; � �� U��J[�� �� U � [ � �� U � [�.�� � � ¬�U � 1 ���T[� ���� � 1 � ���� � U [

�'edqP*N�YLP��*��K�b�Y�FHb�mD]�XZOn|^b�XZQDK%F�O�Y�X�e�XZGJm�P�G���IS~�PTbDIL~�P*ILXHI/F�O�bgN�Q���P�G�XHe�m�P�aZGJP�P�Y�XHee�GLP�PTm�XZQ N�YJP�m

ILXVGJP�]�GJP�YJP�bkI�IL~�P�YLXHO�N�ILK�XZb?KnY�b�m�XHe .��! U"��% 4 [0s���~�P�YJP$m�PTaZGLPTP�Y�XHe�e�GLP�PTm�XZQ FHGLP�IS~�P�YLXZOnN�ISKnXZb

MTX�P0�$MTK�PTbgILY � �� U��J[qKnb=P�FHM/~V��K�b�s

Page 10: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/�

xyIRIL~�P�Knb�KnILK%FHOqQ$XZQDP�bkI�IS~�P�M�XHbgILK�bgN�XZN�Y?U)Knb�YJK�r�P�[Dm�KnYJILGLK���N�ISKnXZb ,-U � "� ; [�K�Y$F�jHF�K�O%F���O�P�s ��~�P

m�KnYLMTGLPTILP�YLXHO�N�ILK�XZb$M�X^PT�DM�KnP�bkISYAFHGJP�XZ��ISFHK�b�P�m9�k|9]�GLX3�JPTMTISKnb�a�IS~�P�YLXZOnN�ISKnXZbRXHbgILX�IS~�Pzm�K�YJM�GLP0ISP�YJ]�FHM�P��

� �� U�� ; [ . ¬�� % 4� ��� � 1 � �� 7���� ,-U � "� ; [�� �� U � [ & � � U ª [

��b dA~�F�I=e�XZO�OnX#dAYRe�XZG�YLKnQ$]�O�K�MTKnI�|�d¢P�dAKnO�O�N�YLP?IS~�P�YJK�b�aHO�P?K�b�m�P0² b�XHI/F3ISK�XHb���IS~�P?jZPTMTILXZG � XHe

m�KnYLMTGLPTILP�MTX�P0�DM�K�PTbkISY�F�b�m�IL~�P�e)FHQDK�O{|�� �����,XHeC��FHYLKnY*e�N�b�MTISKnXZb�Y*~�F�jZP�b�m�XHe�MTXZQD]XZb�P�bkISYTsy��~�P���K�bMTXZQ$]�XZb�PTbkI � �� ��P�MTXZQ$PTY � & � = � 1 � � � � � K�b�IL~�P�YJK�b�aHO�P-K�b�m�P0²=b�X�I/F�ILK�XZb���F�b�m�YJK�QDK�O�FHGLO{|De�XHGAIL~�P���FHYLKnYe�N�b�MTISKnXZb�YTs

��XZGAQ�N�O{ISK�]�O�P�M/~�PTQ$KnM�FHO2M�XHQ$]�XZb�PTbgILY*IL~�P-jZXZOnN�Q$P�m�PTb�YLK{I�|�m�K�YJILGLKn��N�ISKnXZb=XHeCMTXZQD]XZb�P�bkI � �FHb�mIL~�P�ISXHISFHO�jZXHO�N�QDP�m�P�b�YLKnI�|9m�K�YlISGLKn��N�ILK�XZb=FHGJP-GLP�]�GLP�YJP�bkISPTm�K�b=m�KnYLMTGLPTILP�e�XZGLQ FHY

, � U � "�J[�. ��� #���� ���

� �� U��J[���®U � [ ,-U��J[�. ��� #���� ���

� �®U �J[����'U � [ dAK{IS~ � U��J[. �������� � U �J[ � U 4-, [

����� �������� "!#�%$'&(�*)

��X�XZ��ISFHK�b£F�m�KnYLMTGLPTILP$e�XZGJQ XHeyIS~�P9M�XkF�aZN�O%F3ISK�XHb�PT�gN�F�ISKnXZb¡d¢PRMTXZb�YLKnm�P�G�IS~�P$YLPTI�XHe ��% 4 ¯�FHN�YLY

]�XZK�bkILY�Knb�YLKnm�P�P�FHM/~���Knb?FHYzMTXZO�OnX�M�F�ISKnXZb�]�XZK�bkISYTsz��~�KnYzGJP�YLN�OnISY�K�b�FRYLP0I�XHe�b�m�XHe�M�XHO�O�X^M�F3ISK�XHbV]�XZKnbgILY

�,+��- �/. � . ��� #�� s-��~�P�]�KnP�MTPTdAK�YJP�]XHOn|^b�XZQDK%FHO&YJXZO�N�ISK�XHbiU [AK�Y�Knb�YLPTGJILP�m?K�bkILX9IS~�P�PT�gN�F�ISKnXZb`UWuZ[0s-��~�P

GJP�YLN�OnISKnb�a�GJP�O%F3ISK�XHb¡K�Y�PTj�FHOnN�F�ISPTmiF�I�IL~�P�M�XHO�O�X^M�F3ISK�XHb£]�XZK�bkILY0�,+��� �/. � . ��� #�� s?��~�K�Y�aHKnjZPTY�F�YLP0I�XHeb�m�XHe�XHGLm�Knb�FHGJ|Rm�Kn}P�GJP�bkISK�FHO�PT�^N�F�ISKnXZb�Y�ISX�YLXHOnjZP�e�XZGyIL~�P�ISKnQ$P�P0jZXZOnN�ISKnXZb=XHe�IS~�P-b�m�X�eC]�FHGLFHQDPTISPTGLYTs

xzY�YJ~�X#dAb �g| ¨ FHb�m�N F�b�m �qXZGJm�P�b tv¬��3wzIL~�P�MTXZO�OnX�M�F�ISKnXZb�F�]�]�GLXZFHM/~ O�P�F�m�YRISX°IL~�P�e�XZOnO�X#dAK�b�a

Page 11: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ª

m�KnYLMTGLPTILP�e�XZGLQ XHe,IL~�P-M�XkF�aZN�O%F3ISK�XHb�P��gN�F�ILK�XZb

� & � � U��J[&(� . U�� � � U��J[J[ � � U �J[.����������

U � � [���U��J[�� � � U �J[sss

U � � [ � U �J[�� ��� #�� � U��J[

�� U 4H4 [

dAK{IS~�IS~�P-Q$FHYLYAQ$F�ISGJK{²

� � @ � . � ��U�+ ��[FHb�m=IL~�P-M�XkF�aZN�O%F3ISK�XHb9ISP�b�YLXZG

� �� @ � . 7 " #%$ U '� �= ' * ,/. 0 [3 ,/. 0 < " #%$ &('� � = ' 4 1 @ 6

� � � O�XZa�U+��� � 1�� 6 [ � � � U8��[ &/� U 4 ¬Z[

1�� � U�+��0[ 7 3 ,����3 ,/. 0 < ! @ 6 � � U8��[ &/� 4 ��� � ��b�m�XHe �

��b=IS~�P-PT�^N�F�ISKnXZb£U 4Z4 [

U�� � � [ � @ � .��� #���� ��� �

�� @ � � �� t{U�� � � [ � � w � . ��� #���� ���

��� #���� ��� �

�� @ � � �� � � �

������������� ��!#"$�&%�')()*,+-�.!0/ ��~�P�QDPTIL~�X�m�U 4Z4 [�K�Y�F�b$F�]�]�GLX�²�K�Q$F�ILK�XZb�X�e�IS~�P*MTXZbkISKnb^N�XZN�Y�P��gN�F�ILK�XZb��

dA~�KnM/~¡KnY�b�X�I�jHXZO�N�QDP�M�XZb�YLP�Glj�F�ISK{jZPHsV��~�P$M�XZbkISKnbgN�XZN�Y�M�XkF�aZN�O%F3ISK�XHb�PT�gN�F�ISKnXZb¡KnY�jHXZO�N�Q$P�M�XHb�YLPTGl«

j�F�ILKnjZPDe�XZG�F�b�K�b &�b�KnISP�jZXHO�N�QDPRKnbgILP�GljHF�Ops��'eAMTXkFHaZN�O%F�ILK�XZb£]�GLX^m�N�MTP�Y�]�F�GJISKnM�OnP�Y�X�e�jZXZOnN�Q$P$aZGLP�F�ISPTG

IL~�FHb=IS~�P�O%FHGJaZP�YlIA��K�bVYLKnr�P���IL~�K�YyjHXZO�N�Q$P-K�YAOnXZYJI�s��'e�dqP�FHYLYJK�aZb=IS~�K�Y�jZXZOnN�QDP�ISXD��K�b �9U)KWs¤P�s�IL~�P-O%FHYlI��Knb�M�XZbkISFHK�b�Y*FHOnO�]�F�GJISKnM�OnP�YyXHe�jZXHO�N�QDP�O%FHGJaZP�G¢IS~�FHb�� ���� #�� [¢IS~�P�Q$P0IS~�X^m=�PTM�XZQDP�YAaZOnXZ��FHOnOn|�jZXHO�N�QDPMTXZb�YLPTGJj�F�ILKnjZP�s���~�P�ILXHI/F�O�jZXZOnN�QDP�XHe,IL~�P-m�K�YJM�GJPTISP-m�KnYJILGLK���N�ISKnXZb�K�Y

7�1 ,����1 ,/. 0,��^U�� ��[ &(��. ��� #���� ��� � ��U��J[ 7 3 ,����3 ,/. 0

� �3U � [�� ! & � . ��� #���� ��� �� � �3U �J[ . � � U��J[ ���X�]�GLP�YJP�GljZPzIL~�K�Y��gN�FHbkISK{I�|�KnILY�ILK�QDPAm�P�GJKnj�F�ISK{jZPAQ�N�YlI�P��gN�FHO�r�PTGLX�s ¨ N�Q$QDK�b�a-e�XHG¢F�O�O � MTXZQ$]�XZb�PTbkISYKnb¡U 4Z4 [yFHb�mVOnPTe\Il«�Q�N�O{ISKn]�On|^K�b�a��k| � OnP�FHm�YyISX

& � � � U �J[ �& � . � � = � U�� � U �J[L[ � � U��J[.32 � U�� � U��J[J[ � � U��J[

Page 12: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4!,

. ��� #���� ��� 2 � � � U �J[�� � � U��J[. � � U��J[������ #���� ��� 2��.� ���� � U �J[ �

��b�IL~�P¢FH�X#jHPqdqP¢m�P�b�XHISP 2 � . � � = � s�x�YJN��DM�K�PTbkICM�XHb�m�KnILK�XZb-e�XZG2ISXHISFHOkjZXZOnN�QDP¢MTXZb�YLPTGJj�F�ILK�XZb�M�FHb

��P-XZ��I/F�K�b�PTm���e�XZG�P0²�FHQD]�O�P����g|=GJP�m�P &�b�Knb�a$IL~�P-M�XkFHaHN�O%F�ILK�XZb9ILP�b�YJXZG*YLP�M0ISKnXZb�Y � & = � 1 & � � � 1 � � U\dA~�K�M/~MTXZGLGJP�YL]�XZb�m=ISX�IL~�P��)«'IL~�]�XZO{|�b�XZQ$K�FHO�M�X^PT�DM�KnP�bkI*XHe,IL~�P-m�P�b�YLKnI�|=Knb�IS~�P-O%F�YJI���Knb�[yFHY

� & = � 1 & � � � 1 � � . 1 42 & = � 1 & � � � 1 � � = ��� ��� 2 & � = � 1 & � � � 1 � � � &

� = � 1 & � � � 1 � � � . 4 � � � �)% 4 �

��~�KnY�MTXZb�m�K{ISK�XHb�M�FHb���PqK�bkILP�GL]�GLPTILP�m�F�Y�~�F�j^K�b�azFHO�Og]�F�GJISKnM�OnP�Y�XHe�jZXHO�N�QDP�Y,O%FHGJaZP�G&IS~�FHb � ���� #�� Q$FH]�]�P�mXZbkILX�IL~�P-O%FHYlIA��K�b�s

���� ���� $����~�P�aZGLX#d�IL~9]�FHGlIqXHe�P��gN�F�ILK�XZb�UWuk[�~�FHY�IS~�P*e�XZGLQ XHe&F�M�XHb�YLPTGJj�F�ISKnXZbRO�F�d dAKnIL~ + N�²$e�N�b�M0ISKnXZb��VFHb�mYJXZN�GLMTP�ISP�GJQ$Y

00 � , � U � *�J[ % 00 � ��U � , � U � "�J[L[ . � � U � "�J[4,-U � *�J[1 ��U � "�J[4, � U � *�J[8 ��U � , � U � "�J[L[ . �°U � "�J[4, � U � *�J[8 � . 4 � � � �

��~�KnY�P��gN�F�ILK�XZb�K�YCILX-�PAYLXHOnjZPTm$YJN��^�JPTMTI�ISX�FHb�K�b�K{ISK%F�O�m�KnYJILGLK���N�ISKnXZb�FHb�m�IS~�P*��XZN�b�m�FHGJ|�M�XZb�m�KnISKnXZb�XHe

b�X-rTP�GLX3«�YLKnr�PTmD]�FHGJILK�M�OnP�YAt��k¬�� ¨ P�MTILK�XZb 4 ¬�wps,��~�PAP��gN�F�ILK�XZb�Y�e�XZG�m�Kn}P�GJP�bkI�M�XZQD]�XZb�P�bkILY � FHGLP�MTXZN�]�OnP�mIL~�GLXZN�aZ~�IL~�P6&�GJYJI�YLXZN�GLM�P�ISP�GJQ���FHb�m�]�XZYLYJK���O{|�IS~�GJXZN�aZ~VIS~�P�aZGLX#d�IS~�GSF�ILP�Y � � K{e�IL~�PT|Vm�PT]PTb�m?XZbjHXZO�N�QDP�m�PTb�YLK{ISK�PTY�s

��~�P*m�K�YJM�GJPTISKnr�F�ILK�XZb�X�eIL~�PAYLXZN�GJM�PAISPTGLQDY�dAKnO�O��PAm�KnYLM�N�YLYLPTm9K�b ¨ PTMTILK�XZb ��s8��sC��~�PAm�KnYLMTGLPTILK�r�F�ISKnXZb

XHe,IS~�P9U)~�XHQ$XZaHP�b�PTXZN�Y/[�M�XHb�YLPTGJj�F�ISKnXZb�O�F�d K�YA��FHYJP�m?XZbVIS~�P6'�K�YJM�XZbkILK�bgN�XZN�Yz¯-FHO�PTG��gK�b=e�XZGLQ�N�O%F�ILK�XZb

XHeCoqX^M7�^��N�GLb�PTI�s�FHOWsAt0��� wWs ��XHG���K�b 2��zFHb�m=M�XZQD]�XZb�P�bkI*XHe,XZGLm�P�G �00 � � �� U��J[ . ¬�� % 4

� ���� � 1 � �� 7 ��� ��U � ,��^U � "�J[J[ 00 � � �� U � [*& � U 4 �k[

Page 13: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4Z4

1 ¬���% 4� ��� � 1 � ������ U�,��^U8� ���� � "�J[L[ 1 UE1 4 [ � � U�,��^U8� �� = � *�J[L[��

¨ Knb�M�P�IL~�P�YLXZOnN�ISKnXZb�K�Y�m�K�YLMTXZbkISKnb^N�XZN�Y�FHM�GJXZYLY�IL~�P���K�bc��XZN�b�m�FHGLKnP�Y���IL~�P + N�² �iF�M�GLXHYLY�IS~�P���K�b

��XZN�b�m�FHGJ|RK�Y�b�XHIAm�P &�b�PTm���FHb�m=KnY�GLP�]�O%FHMTP�m=�k|=F�b^N�Q$PTGLK�M�FHO + N�² � dA~�K�M/~Vm�P�]�P�b�m�Y*XHb=IL~�P�j�FHO�N�PTYKnb=IL~�P-O�P0e\IAFHb�mVGLKnaZ~kIA��K�b�YTs

� � ,��^U8� ��� � "�J[ � . � � ,��gU � ��� � 1��� "�J[ ,��^U8� ��� � %��� "�J[ � ���XZG�IS~�P�¯-X^m�N�b�X�j`e�XZGJQ�N�O%F3ISK�XHb`N�YLP�m�Knb�IL~�K�Y$]�FH]�P�G$IL~�P�bgN�QDP�GJK�M�FHO + N�² KnY$aHKnjZPTb��k|`IL~�P + N^²

e�N�b�MTISKnXZb=PTj�FHOnN�F�ISPTmVF�I�I�dqX$YLKnm�P�YAXHe�IS~�P-��XZN�b�m�FHGJ|� 

� U ��0[ . QDK�b .���.�� �CU � [qK{e� ��� FHb�m � U� ��0[�. Q$F3² .���.�� �CU � [qK{e����� ���~�P�P��gN�F�ILK�XZb£U 4 �k[qM�F�b���P�dAGLKnIJISPTbVKnbVF�MTXZQD]�FHMTI�e�XHGLQ FHY

& � �& � .��RU �J[ � � U �J[ %��9U � � U��J[J[ U 4 ¦g[

dA~�PTGLP�IS~�P &�GLYlIzISPTGLQ GLPT]�GLPTYLPTbgILY�IS~�P + N�²Ve�N�b�M0ISKnXZb�KnbgILP�aZGLFHO2X#jZP�G�P�FHM/~?��K�b���FHb�m�IS~�P�YLP�MTXZb�m�IL~�P

b�XHb�O�Knb�P�FHGqb^N�Q$PTGLK�M�FHO + N^²�ISPTGLQDY�s

­�X�ISP�IL~�F�I�Knb�XZGLm�P�GzILX�XZ��I/F�K�b�ILXHI/FHO2j�FHGLK�F�ISKnXZb�m�K�QDK�b�KnYL~�Knb�a�YLXZOnN�ISKnXZb�YzOnK�QDKnILK�b�a�XHe�IL~�P�YLOnXZ]PTY

Q�N�YJI��PDFH]�]�O�KnP�m�s���~�PDGLP�FHm�PTG�YJ~�XZN�Onm£MTXZb�YLN�OnI�oqX^M7�^��N�GLb°P0I�s$FHOpsVt w�e�XZG�QDXZGJPDm�PTI/F�K�O�YTs���b�IL~�P

bgN�QDP�GJK�M�F�O�P0²�]�P�GLKnQ$PTbkISYA]�GLPTYLPTbgILP�m�Knb�IS~�KnY�]�FH]�P�G�dqP-m�XDb�XHIAN�YLP�YLO�XH]P�OnK�QDKnISKnb�a�s

����� � �� ���! #" � )%$&� &#)%'("��~�P-YJXZN�GLMTP�Y�FHb�mVYLKnb �gY*PT�gN�F�ISKnXZb

&(, �& � . � � U � "�J[ 1���U � "�J[4, � U��J[ ) ��� #���� ���

����U � [ & � ��&(� . � � U � "�J[ 1���U � "�J[ ��� #���� ���

��®U � [ � �� U �J[

Page 14: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4 ¬

M�FHb���P�m�KnYLM�GJPTILK�r�PTm°U�K�b�IS~�P�¯-FHOnP�G��gKnb=FH]�]�GJXkFHM/~�[�FHY

& � �& � . � � U �J[ 17��U��J[ � � U �J[ � U 4#± [

�*P�GLP � � KnY�IS~�PVb�m�XHe%«pjZPTMTISXHGDdAK{IS~`M�XZQD]XHb�P�bkISY � �� F�b�m ��U �J[�KnYDIL~�PVb�m�XHe%«'m�K�QDP�b�YJK�XZb�FHOqQ$F�ISGJK{²aZK{jZPTbV�k|

� �� U��J[. 7 3 ,����3 ,/. 0� � U � *�J[����®U � "�J[ & � � � @ ��U��J[. 7

3 ,����3 ,/. 0

��U � "�J[�� ��U � [�����U � [ & � ���~�P�m�K�YJM�GJPTISP-YJXZN�GLMTP�Y�FHb�mVYLKnb �gY*PT�gN�F�ISKnXZb=N�YLKnb�a�IS~�P-MTXZO�OnX�M�F�ISKnXZb�FH]�]�GLXkFHM/~VGLP�FHm�Y

� & � �& � . � � U �J[1 ��U��J[ � � � U �J[ � �� . � � U�+ � "�J[ ��U��J[. m�K%FHa � � ��U�+ � "�J[ ������ � �% �� & " $ �����~�P-M/~�PTQ$KnM�FHO&GJP�FHM0ISKnXZb�ISP�GJQ$Y�Knb=P��gN�F�ILK�XZb£U)¦k[

00 � , � U � "�J[�. � ��� , � ������� ,��� "� �FHGJP�PTj�FHOnN�F�ISPTm�XHb=IL~�P-m�K�YJM�GJPTISKnr�PTmVjHXZO�N�QDP�m�PTb�YLK{I�|=m�K�YlISGLKn��N�ILK�XZb�Y�U 4!, [qOnP�FHm�K�b�a�ILX

��� #���� ���

& � ��& � ���®U � [�. � � � ��� #���� ���

� �� U �J[�����U � [ ������� ��� #���� ���

� �� U �J[����'U � [ "� � � U 4 uk[

��~�P-M/~�PTQ$KnM�FHO&PT�gN�F�ISKnXZb£U 4 uZ[qM�FHbV�P-m�KnYLMTGLPTILK�rTP�m=N�YLKnb�a�IS~�P-M�XHO�O�X^M�F3ISK�XHb9FH]�]�GLXkFHM/~=ISX�XZ��I/FHKnb

� & � �& � .����������

� � � � ��� #��� ��� � � @ � � �� U �J[ ������ ���� #��� ��� � � @ � � �� U��J[ "� �sss

� � � � ��� #��� ��� � ��� #�� @ � � �� U �J[ ������ ���� #��� ��� � ��� #�� @ � � �� U��J[ "� �

���

­*XHISP�IL~�F�IAIS~�P-GJK�aZ~kIA~�FHb�mVYJK�m�P�jHP�MTILXZG*GLP��gN�KnGLPTY*b�m�XHeCP0j�FHO�N�F3ISK�XHb�YyXHe�IS~�P-M/~�PTQ$KnM�FHO�GSF�ILP�Y � � s

Page 15: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4 �

¨ KnQ$KnO%FHGJOn|Z�kIL~�P-P��gN�F�ILK�XZb£U 4 uk[qM�FHbV��P�m�K�YLMTGLP0ISK�rTP�m=K�b�IL~�P�¯�FHOnP�G$�^Knb9e�GSFHQDPTd¢XZG$�RISX�XZ��ISFHK�b

& � ��& � . 7 3 ,����3 ,/. 0� � � ��� #���

� ���� �� U��J[���®U � [ ������� ��� #���

� ���� �� U��J[����U � [ "� � � �3U � [�& � U 4 �Z[

. 7 3�������3 �� � � � ��� #���� ���

� �� U��J[�����U � [ ������� ��� #���� ���

� �� U��J[���®U � [ "� � � ��U � [& � . � �� 4 ��� ��b�m�XHe �

�*P�GLP ��KnY�IL~�P�K�b�m�P0²�XHe�IS~�P���K�b�dA~�P�GJP�IS~�P���FHYLKnY�e�N�b�M0ISKnXZb�� �-K�Y�b�XZb�rTP�GJX�s���~�P�bgN�Q���P�GzXHe�PTj�FHO!«N�F3ISK�XHb�Y�XHe,M/~�P�QDK�M�FHO&GSF�ILP�Y � � m�P�]�P�b�m�Y�XHbVIL~�P-b^N�Q��PTGAXHe��gN�F�m�GSF�ILN�GLP�]�XZK�bkISY�N�YLP�mVISXDM�XZQD]�N�ILPIL~�P9K�bkILP�aZGLFHO�Y�K�b U 4 �Z[�s�xf]�F�GJISKnM�N�O�FHGLO{|cF�IJISGSF�MTISK{jZPRFH]�]�GJXkFHM/~�K�Y�F�m�KnYLM�GJPTILK�r�F3ISK�XHb¡XHe�IL~�PRjZXHO�N�QDP

m�PTb�YLK{ISKnP�Y�dAKnIL~i]�K�PTM�PTdAKnYLP=O�Knb�P�F�G�]XHOn|^b�XZQDK%FHOnY���FHb�m�FHbiPTj�FHO�N�F�ISKnXZb°XHe*IS~�P=KnbgILP�aZGLFHO�Y�K�b U 4 �Z[��k|

FH]�]�On|^K�b�aDIL~�P�QDK�m�]�XZKnbgIAGJN�O�P�K�b�P�FHM/~?X�eCIS~�P�YLKnr�P���K�b�YTs���~�K�Y�FH]�]�GJXkFHM/~�]�GJX#j�Knm�P�Y�F$YLPTM�XZb�m?XZGLm�PTG

FHMTM�N�GLF�ISP*m�KnM�GLP0ISKnr�F�ILK�XZb�K�bD]�FHGlISKnM�O�P�YJK�rTP*dAK{IS~DXZb�On|=U � .�b�m�XHe Z¬H[�P0j�FHO�N�F3ISK�XHb�Y�XHe�IL~�P�M/~�P�QDK�M�F�O�GSF�ILP�YU�KpsvPHs�XZb�P-P0jHF�O�N�F�ILK�XZbRXHe�GLF�ISPTYA]PTG*YJK�rTP���K�b�[�s

���� � & � "!�$'� )% �� %"� & " � �� $'& � �%$'&#��) ��� $ �% � � ) � � & ����� �%$&(��)%"x�M�XZN�]�O�P�m�YLXZOnN�ISKnXZb�XHe�MTXkFHaZN�O%F�ILK�XZb���aZGJX#d�IS~��ZbgN�MTO�P�F�ISKnXZb��HPTQ$KnYLYJK�XZb�Y�FHb�m�m�P�]�XZYLK{ISK�XHb�K�Y�XHe�KnbgILP�GJP�YJI��

K{IqdAK�OnOp�ke�XZG¢P0²�FHQD]�O�P�����PTILILP�GyM�FH]�ILN�GLP�IL~�P�M�XHQ$]�PTILKnISKnXZbD�P0I�dqPTP�bVb^N�M�O�P�F�ISKnXZb9XHe�b�P0d ]�FHGJILK�M�OnP�YqFHb�m

MTXZb�m�PTb�YSF�ILK�XZb�XZbVP0²�K�YlISK�b�a$]�F�GJISKnM�OnP�Y�e�XZGAakFHY®«'ISX3«�]�FHGlISKnM�O�PzM�XZbkjZPTGLYJK�XZb°t ¦ 4 wpsyoqXZQ���Knb�K�b�a�U 4Z4 [0��U 4 ¦g[��

U 4�± [0��FHb�m¡U 4 �Z[�O�P�F�m�Y�ISX�IS~�P-MTXZN�]�OnP�mVYJ|^YJILP�Q XHe,XZGLm�K�b�FHGl|9m�K{}�PTGLPTbgILK%FHO�P��gN�F�ILK�XZb�Y

& � �&(� . � = � U�� � � U��J[J[ � U��J[ %��$U��J[ � � U �J[ %��9U � � U��J[J[ % � � U �J[ 17��U��J[ � � U��J[ %�� � U � U��J[J[. � � U � � U��J[ � � � � ��U �J[L[ � . 4 � � � � U 4- [

­*XHISP�IL~�F�IAIS~�P-YLFHQ$P � � �� FHGLP-N�YJP�m�e�XHGAFHO�OM�XZQD]XHb�P�bkISY � s

Page 16: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4 ¦

����� � & � ��$ ����"&�) ���~�PzYJ|^YJILP�Q U 4! [�M�FHb���PzYJXZOnjHP�m��k|RFHbk|9FH]�]�GLXZ]�GLK%F3ISPAISK�QDP0«'YJILP�]�]�Knb�a�Q$P0IS~�X^m�sC��~�PzYJ|^YJILP�Qf~�F�YyF

]�F�GJISKnM�N�O�FHG�e�XZGLQV ,IL~�P�aZGJX�d�IL~9ISPTGLQ KnYqOnK�b�P�FHG��gdA~�K�OnP*IL~�P�M�XZFHaZN�O�F�ISKnXZbDILP�GJQ KnYy��K�OnK�b�P�FHG�s���b�tv¬��3w�d¢P

MTXZQ���Knb�P�m¡IL~�PROnK�b�P�FHGLKnr�PTm¡��FHM7�kdqFHGLm ��N�OnP�G�YJM/~�P�QDP9e�XZG�M�XkF�aZN�O%F3ISK�XHb�dAK{IS~ioqGLFHb �Z«®­*K�M/~�XZOnYLXZb£e�XZG

aZGJX#d�IS~9F�b�m9YLXHN�GLMTP�Y73YLK�b �^Y¢ISX�F�M/~�K�P0jZP�YJP�M�XHb�m9XZGJm�P�G�ISK�QDP*FHM�MTN�GSF�MT|Z��FHb�m$N�b�M�XHb�m�KnILK�XZb�FHO�YJISFH��K�OnKnI�|

XHe2IL~�P�M�XkF�aZN�O%F3ISK�XHb$ISPTGLQVsC��b�IS~�KnYy]�FH]�P�G¢dqP-M�XHb�YLKnm�P�GyIL~�P�P0²�]�OnK�MTKnI���YJILGLXZb�aHOn|$YJI/F���O�P�YJP�MTXZb�mVXZGLm�PTG

�AN�b�aZP ��N�IJI/F�Q$P0IS~�X^m

� � . � U����Z[ %�� �*U � U ���k[J[ � � .�� � %��� �*U�� � [ � U���� � � [ . � U�� � [ % � �¬ � U 4�ª [

��~�KnY&Q$P0IS~�X^m�K�Y2F�]�]�GLXH]�GLK�F�ISP�e�XHG�IS~�P�KnbgILP�aZGLF�ISKnXZb�XHe^IS~�P�~g|^]�P�GJ�XZOnK�MCaHGLX#d�IS~�P��gN�F�ILK�XZbDt wWs ¨ ISGLXHb�aZOn|

YlI/FH��OnP�IS~�KnGLmVFHb�mV~�KnaZ~�P�G�XHGLm�PTG �*N�b�aZP �-N�ILI/F�QDPTIL~�X�m�Y�F�GLP�FHO�YJX�F�jHF�K�O%F���O�P�s

� ��;��H8 � ��:� ��� ��B�����?B6�BT8 � ��7?< 6 � � �� � ��798 ��8CB�;D7 � ��� ��@A8 ���XAQRF5��PCIS~�P�MTX�m�P�P0�DM�K�PTbkI�F�M�FHGLP0e�N�OkK�QD]�O�PTQ$PTbkI/F�ILK�XZb�XHe�IL~�P�QDPTIS~�X�m-K�Y&KnQ$]�XZGlI/FHbkI�s&��~�P�KnbkISP�aHGSFHOnY

FHGJP�XZ��ISFHK�b�PTm=b^N�Q$PTGLK�M�FHO�O{|RN�YLK�b�a$F�¦�«']XHK�bkI*¯-FHN�YLYA�gN�FHm�GSF�ILN�GLP�K�b�YJK�m�PzP�FHM/~���K�b�s���~�P�YJ]�FHGJYLKnI�|9K�b

IL~�P�ISPTb�YLXZG � KnYyP0²�]�OnXZKnILP�m�K�b$I�dqX�dyF�|^Y�s ��KnGLYJI���IL~�P�&�b�K{ISP�YJN�]�]�XZGJIAXHe,FHOnO��FHYLKnYye�N�b�MTILK�XZb�YyQRF �HP-FO�FHGLaZP�bgN�Q���P�GAXHe�P�bkISGJK�PTY�XHe#� PT�gN�FHO�ISX�rTP�GJX�s "¡P�]�GJP�m�KnMTI�IL~�P�r�PTGLX�ISPTGLQDY���FHYLPTm�XHb9IS~�P-FHb�FHOn|^YLKnY

XHe�IL~�PRe�N�b�MTISKnXZb¡YJN�]�]�XZGJI�FHb�m�XZb�O{|�M�XZQD]�N�ILP$IS~�P9K�bkISPTaZGSF�O�Y-e�XZG�IL~�XZYLP$ISP�GJQ$Y�IS~�F3I�FHGLP$b�XZb�rTP�GJX�s

¨ PTM�XZb�m���IS~�P�ISPTb�YLXHG�K�Y*YJILXZGLPTm?K�b�F$YL]�FHGJYLP�e�XHGLQ$F�I�FHb�mcFHOnO2ILP�b�YJXZGzQ�N�OnILK�]�OnK�M�F3ISK�XHb�XZ]PTGSF�ILK�XZb�YzFHGJP

m�XHb�P-PT�DM�KnP�bkISO{|=K�b�IS~�KnYye�XZGLQ$F�I�s���b�FHm�m�KnISKnXZb9ISX�IS~�P�YJ]�FHGJYLKnI�|=X�e �R��IL~�P-QRFHYJYAQRF�ILGLK!² � K�YA��OnX�M7�

m�K�FHaZXZb�FHO�U�dAK{IS~�P�FHM/~���O�X^M7��M�XZGJGLPTYL]�XZb�m�Knb�a�ILX�P�FHM/~���Knb���IL~�Pqm�KnQ$PTb�YLKnXZb-XHe�IL~�Pq��O�X^M7�^Y�K�Y � % 4 �3dAK{IS~��IL~�Py]�XZOn|^b�XHQ$K�FHOkXZGLm�P�G�Knb�IS~�Pym�K�YJM�GJPTISKnr�F�ILK�XZb�[0s2��~�P�YL]�FHGLYJPyK�QD]�O�PTQ$PTbkI/F�ILK�XZb-O�P�FHm�Y�ISX�FHb�XHGLm�PTG�XHe

Page 17: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4�±

Q$FHaZb�K{ISN�m�P�m�P�MTGLP�F�YLPzKnbDIL~�PAISXHISFHO�M�]�NDISKnQ$PydA~�PTbRMTXZQ$]�FHGLPTm$ISX-IS~�P�b�XHb�«�YJ]�FHGLYJP�KnQ$]�O�P�QDP�bkISF�ISKnXZb�s

��~�P�bgN�QDP�GJK�M�F�O�FHOnaZXZGJKnIS~�Q$YAm�PTYLM�GJK���P�m?Knb�IS~�KnYz]�F�]PTG�~�F�jZP���P�PTb?K�QD]�O�PTQ$PTbgILP�m�Knb�F9YJXHe\I�dyF�GLP

OnK���GLFHGJ|�xzPTGLX ¨ XHOnjZP�t�� , wWs$��~�PDYLX�e\I�dyFHGJP$KnY�e�GLP�PTOn|cF�j�FHKnO%FH��OnP�FHb�m¡M�F�b£��P�XZ��I/F�K�b�PTm�e�GJXZQ IS~�P�d¢P��

FHm�m�GLPTYLY*~gIJIS]�  ��]�P�XZ]�OnPHsvM�YTsvjgI�svP�m�N���-FHYSFHb�m�N� ¨ XHe\I�dqFHGLP-�x�P�GLX ¨ XZOnjHPHs

� � > � ��:�B�@ ���� � �C> T8 ���%,���#�-� � / ��b?IS~�K�Y�ILP�YlI�]�GLXH��O�PTQ d¢P�YLXZO{jZP�IL~�P�aZGJX#d�IS~?P��gN�F3ISK�XHb�e�XZGzQ�N�OnISKn]�O�P-MTXZQ$]�XZb�PTbkISY

Knb=IL~�P-QRF�YLY�m�PTb�YLK{I�|�e�XZGLQ�N�O%F�ILK�XZb

0� �0 � . � �� 1 4�00 � t � � w � ; � � � ��� � U � "� . , [. U � [ ; U � [ 4 � � �

dA~�PTGLP � U � "�J[qKnYyIS~�P-Q$FHYLY�m�PTb�YLK{I�|Z� � � U � *�J[¢IS~�P-aZGJX�d�IL~�GLF�ISP-XHe,M�XHQ$]�XZb�PTbgI � ��FHb�m . ��

����� � � . ��

������ � �

��~�PDISP�YlI�]�GJXZ��O�PTQ M�XZb�YLK�m�P�GLPTm°~�PTGLPR~�FHY . ¬=M/~�P�QDK�M�FHO�M�XZQD]XHb�P�bkISYTs���~�PRK�b�KnISK�FHOCm�KnYJILGLK{«

��N�ISK�XHb�Y�FHGJPRYJ~�X#dAb�K�b$�,K�aZN�GJP 4 U)N�]�]�P�G�]�FHb�PTO�Y/[�FHb�m�F�GLPRXH��I/FHKnb�P�m£e�GLXZQ IS~�PRYLN�]PTGL]�XZYLK{ISK�XHb¡XHe

�9OnXZaZb�XZGJQRF�O�m�K�YJILGLKn��N�ISKnXZb�Y�U)QDX�m�P�O�Knb�a$IL~�P�bgN�MTO�P�F3ISK�XHb��&FHMTM�N�Q�N�O%F�ILK�XZb��FHb�mcMTXZGLGJP�O%F3ISK�XHb�QDX�m�PTY/[�s

��~�P�&�GJYJI*YL]�P�MTK�PTY�MTXZb�m�PTb�YLPTYzXZb�IS~�P�]�FHGJILK�M�OnP-FHb�m�IS~�P�YJP�MTXZb�m�YJ]PTM�KnP�Y*PTj�FH]�XZGSF�ILP�Y*F�I�IL~�P-GSF�ILP�Y

� � . 4 ~ = � � � . 1*¦ 4-, = � ~ = � ���~�KnY�ISP�YlI*]�GLXZ��O�P�Q FHm�QDKnILYqIS~�P�FHb�FHOn|gISKnM�FHO�YLXZOnN�ISKnXZb

� U � "�J[. U � [ ;�� � 1 ��U�� 1$� ; [�� % ��� &�� = ���51 1 4

� � � ��� ��� �� � � ; � � 1 ��U�� 1$� ; [�� �

"£P-YLXZO{jZP�IS~�P�ILP�YJI*]�GJXZ��OnP�Q XHbVIL~�P-K�bkISPTGJj�FHO � ; . , �4� � . u�~�XZN�GLY�s

Page 18: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4 u

��~�P$aZGLX#d�IS~£P��gN�F�ILK�XZb�K�Y-YJXZOnjHP�m¡dAK{IS~ '�K�YLMTXZbkISKnb^N�XZN�Y�¯�F�O�P�G$�gK�b�U '-¯�[�FHb�m£dAK{IS~cIS~�P�dAK�m�P�On|

N�YJP�m �qXHILI�QDPTIL~�X�m�t ± wW��F�b�mDIL~�PAGLPTYLN�O{ISY¢FHGLPAYL~�X�dAb$K�b ��KnaZN�GLP 4 U)��XHIJISXZQ ]�FHb�PTO�Y/[�sC��K�QDPAYJILP�]�]�Knb�a

KnY�]�P�Gle�XZGLQDP�m�N�YJK�b�a-IS~�P�YJP�M�XHb�mRXZGJm�P�G(�AN�b�aZP���N�ILISF�QDPTIL~�X^m�U 4#ª [�dAKnIL~DIL~�P�jZPTGJ|DYLQ$FHO�O�ISK�QDP�YJILP�]

��s¤u�YLPTM�XZb�m�Y�s���~�K�Y�YlISPT]£KnY�I�dqXVXZGLm�P�GLY-XHe¢Q$FHaZb�K{ISN�m�P�YLQ$FHO�OnP�G�IL~�FHbcb�PTM�P�YJYSFHGl|ce�XZGzIS~�PDPT�gN�F�ISKnXZb

��N�IzF�O�O�X#dAYyN�YAILX$QDP�F�YLN�GJP�Q$XZGJP-FHM�MTN�GSF3ISP�O{|9IS~�P�GJP�O�F�ISK{jZP�M�]�NVILK�QDP�Y�XHe�IS~�P�I�d¢X$m�K�YLMTGLP0ISK�r�F�ISKnXZb�YTs

��~�PcQDK�m�m�OnP���KnaZN�GJP 4 ]�O�X�ISY9YJ~�X#d IS~�P?O�X#d F�M�M�N�GSFHM0|�bgN�Q$PTGLKnM�FHO�YLXZOnN�ISKnXZb�Y9XZ��I/FHKnb�P�m dAK{IS~

]�KnP�MTPTdAK�YJP�OnK�b�P�FHG '-¯ dAKnIS~ 4 ¬?��K�b�YRFHb�m &�GLYlI9XZGJm�P�G4�qXHIJI9FHOnaZXZGJKnIS~�Q dAKnIL~ 4 ¬c��K�b�Y�s ��~�P�'-¯

YJXZO�N�ILK�XZb�I/F5��P�Y , s8��YJP�M�XHb�m�Y�U)XZbiF�E,P�bkILK�N�Q � ]�GLX^M�PTYLYLXHG�� 4 s ������r9dAK{IS~¡IL~�P9��bkISPTO-��XZGJILGSFHb ª�,MTXZQ$]�K�O�PTG/[���dA~�KnO�P�IL~�P �qXHIJI�YLXHO�N�ILK�XZbVI/F5��P�Y , sv¦Z¦�YLPTM�XZb�m�Y�s�oqOnP�FHGJOn|=IS~�P '-¯ YLXHO�N�ILK�XZb�KnY�b�XHI�XZb�On|

e)FHYlISPTG�����N�I*MTXZb�YLKnm�P�GLFH��O{|9QDXZGLP-FHMTM�N�GLF�ISP�s

��~�P=O�X#d¢P�G���KnaZN�GJP 4 ]�O�XHILY�YL~�X#d IS~�P�~�KnaZ~�PTG�FHM�MTN�GSFHM0|�bgN�QDP�GLKnM�FHOqYLXZOnN�ISKnXZb�Y�XZ��I/FHKnb�P�m°dAK{IS~

]�KnP�MTPTdAK�YJP�M�N���K�M '-¯ dAK{IS~ ��Knb�Y�U)MT]�NcISK�QDP , s ± YJP�M�XHb�m�Y/[���F�b�m?IS~�KnGLm?XZGJm�P�G��qX�ILI�dAK{IS~£¬ , ��Knb�Y

U�M�]�N=ISKnQ$P 4 s , ¦�YJP�M�XHb�m�Y/[�s¢x�akFHKnb=IL~�P '-¯ YJXZO�N�ILK�XZb�KnYAO�P�YJY�P0²�]�P�b�YJKnjZP�FHb�mVQ$XHGLP-FHMTM�N�GLF�ISP�s

��%,���#�-� � � / ��XZGAIS~�P�b^N�Q$PTGLK�M�FHO2P0²�]�P�GLKnQ$PTbkISYzd¢P &�GJYJI�MTXZb�YLKnm�P�G�IS~�P�ISP�YlI�]�GJXZ��O�PTQ e�GLXZQ t 4�± wW�

dA~�KnM/~�FHm�Q$K{ISYAFHb�FHb�FHO{|gISK�M�FHO�YJXZO�N�ILK�XZb�s()&P0I������P-IS~�P-ILXHI/F�O&K�b�K{ISK%F�O�bgN�Q���P�GAXHe�]�FHGJILK�MTO�P�Y*FHb�m ���

IL~�PAQ$P�FHb�K�b�K{ISK%F�OgjHXZO�N�Q$P�sC��~�PAK�b�K{ISK�FHO�bgN�Q��PTG�m�K�YlISGLKn��N�ILK�XZb�KnY�P0²�]XHb�P�bkISK�FHOp�ZIL~�PAM�XkF�aZN�O%F3ISK�XHb�GSF�ILP

KnY�M�XZb�YlI/FHbkI���FHb�m=IS~�P-aZGJX�d�IL~�GLF�ISP-KnY�O�K�b�P�FHGqdAK{IS~�IS~�P-jHXZO�N�Q$P� 

� ; U���[. U���� 5 ����[�� =+9 � 1 , < U��A "C�[ . < ; 2U���[.�� � ���~�P�FHb�FHOn|gISKnM�FHOYLXZOnN�ISKnXZb�U)YJP�PRt 4#± w\[qKnY

� ��U��! "�J[. ¦�������AU���� < *� %�¬Z[ � ��P�²�] � 1z¬ �qP�²�]�U���"�J[���AU���� < "� %�¬Z[ 1���"� � �

"£P�YJXZOnjHP�IS~�P�m�|^b�F�Q$KnM�PT�gN�F�ISKnXZb�e�XHG < . ¬ �n4 uZu� 4-, = � MTQ � ~ = � ]�FHGJILK�MTO�P�Y = � ����-. , �8, ¬�~ = � �

Page 19: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4 �

��� . 4!, � ]�FHGlISK�MTO�PTY�� �� . , � , � � Q � s���~�P�j�FHOnN�P�YqFHGLP*M/~�XZYJP�b�YLN�M/~9IS~�F�I¢M�XZFHaZN�O�F�ISKnXZbDFHb�mRaHGLX#d�IS~~�F�jHP�P0}�PTMTISY*XHe,M�XZQD]�FHGLFH��OnP�QRF�aZb�KnILN�m�P�s

��~�P*P��gN�F�ILK�XZb�dqFHY¢YJXZOnjHP�m$XZbDIL~�P�ISKnQ$P�KnbgILP�GljHF�O�t �% � � � " . , ���� � � " . ¦ ~Vw�dAK{IS~DF�YJQRF�O�O�ILK�QDP

YlISP�] ���. u�QDK�b��IS~�P�ISK�QDP�YlISPT]=dqFHYAM/~�XZYJP�b�YLN�M/~=IS~�F3I�IS~�P�ILK�QDP�m�K�YJM�GJPTISKnr�F�ILK�XZb�PTGLGJXZGLYAFHGJP�YLQ$FHO�O

MTXZQ$]�FHGLPTm�ISXRIL~�P�YJK�rTP�m�K�YJM�GJPTISKnr�F�ILK�XZbVP�GJGLXZGJY�s���~�P�jZXZOnN�QDP�K�bkILP�GJj�FHO2KnY ���� � . 4!, = � ISX �������8. 4

� � sC��~�P�N�YJP*X�e�F�&�b�KnILPyjZXZOnN�Q$PqK�bkISPTGJj�FHO�KnbkISGLX^m�N�MTP�Y�PTGLGLXHGLY�K�b�IL~�P�M�XZFHaZN�O�F�ISKnXZb�GJK�aZ~kIJ«'~�FHb�m^«�YLKnm�PHs��~�PAbgN�QDP�GJK�M�F�O�YLXZOnN�ISKnXZb�YCdAKnO�O���P�P0²�]�P�M0ISP�m$ISX-GLPTM�X#jZPTG�IL~�P*FHb�FHO{|^ILK�M�FHO�YJXZO�N�ILK�XZbVU�XZb�O{|�[,dAK{IS~�Knb�IS~�KnY

PTGLGLXHG�QRFHGJaZK�b�s

��~�PzFHM�MTN�GSFHM0|RX�e�IS~�PzbgN�QDP�GLKnM�FHO�YJXZO�N�ISK�XHb�YqF3I�IL~�P &�b�FHO�ISKnQ$PAK�Y�QDP�FHYJN�GLPTm9FHakF�K�b�YlI�IL~�P�F�b�FHOn|gIl«

KnM�FHO�U�XZG�GLP0e�P�GJP�b�MTP#[�YLXZOnN�ISKnXZb��k|9IS~�P-GJX�XHIl«�QDP�FHb^«�YL�gN�F�GLPDU � � ¨ [yPTGLGLXHG�b�XZGLQ

� � � . ����4� �� ���

� �DU+�'� "��� � � " [ 1#� � U��'� "��� � � " [Q$F3²�U�� � U��'� *��� � � " [ "� � [ � � Up¬ , [

��~�P*IS~�GJP�YJ~�XZO�m�� � . ± ,�, ]�FHGJILK�M�OnP�Y�MTQ = � � Q = � QRF �HP�Y�IS~�P*P�GJGLXZG�K�b�m�K�M�F�ISXZGCILX�KnaZb�XZGJP�IS~�P*YLQ$FHO�OnP�YlI]�F�GJIAXHe�IS~�P-bgN�Q���P�GAm�KnYJILGLK���N�ISKnXZb�s

��XVMTXZQD]�FHGLP�IL~�P�GLPTO%F�ILKnjZP�Q$PTGLKnILY�XHe¢m�Kn}P�GJP�bkI-m�KnYLM�GJPTILK�r�F3ISK�XHb?XZGLm�PTGLY�d¢P &�GLYJI�YJ~�X#d IS~�PDYJXZO�N^«

ILK�XZb�YzXZ��I/F�K�b�PTmcdAK{IS~cb�m�X�e . 4 ¬Rm�P�aZGJP�PTY�XHe�e�GJP�P�m�XZQ�s���~�P�GJPRFHGJP 4 ¬R��Knb�Y�e�XZG�]�KnP�M�P0dAK�YJPDMTXZb�YlI/FHbkI]�XZOn|^b�XHQ$K�FHO�YT�Hu���Knb�YCe�XZG�]�KnP�M�P0dAK�YJP*OnK�b�P�FHGC]�XZOn|^b�XHQ$K�FHO�YT��¦���K�b�YCe�XZG�]�K�PTM�P0dAK�YLPA�gN�FHm�GSF�ILK�MH�gF�b�m�XZb�On|

����Knb�Y�e�XZGyIS~�P-]�KnP�MTPTdAK�YJP-M�N���KnM-m�K�YJM�GLP0ISKnr�F�ILK�XZb�s

��KnaZN�GLP�¬�YL~�X#dAY�IS~�P�MTXZQD]�N�ISPTm=YLXZOnN�ISKnXZb$e�XZG¢IS~�P�aZGJX#d�IS~=P��gN�F�ILK�XZb�� ��K�aHN�GLP���IS~�P�YJXZO�N�ILK�XZb$e�XZGIL~�P�M�XkF�aZN�O%F3ISK�XHb9P��gN�F�ILK�XZb���FHb�m ��KnaZN�GJP�¦�IS~�P�YJXZO�N�ILK�XZb$e�XZGyIS~�P�MTXZN�]�OnP�m=M�XZFHaZN�O�F�ISKnXZb9FHb�mVaHGLX#d�IS~PT�^N�F�ISKnXZb�s���XZG�]�OnXHILILK�b�a9]�N�GL]�XZYLPTY�IL~�P�j�FHO�N�PTY�XHe�IS~�P�]�KnP�M�P0dAK�YJP$]�XZOn|^b�XHQ$K�FHO2M�XZQD]�N�ILP�m�YLXZOnN�ISKnXZbKnY�YL~�X#dAb�F�I 4!, m�Kn}P�GJP�bkI�]�XZK�bkI�K�b�YLK�m�P9P�FHM/~`��Knb U)FHb�mi]�OnXHILILP�m�dAKnIL~`YJ�gN�FHGLPTY/[�s`��~�PV]�K�P�MTPTdAKnYLP

M/~�F�GSFHM0ISP�G�XHeCIL~�P�YJXZO�N�ISK�XHb�KnY�MTO�P�F�GLOn|Rj�KnYLKn��O�P�e�XZG�IS~�P�r�PTGLXHIL~�XZGJm�P�G*m�K�YJM�GJPTISKnr�F�ILK�XZb�����N�Ize�XHG*~�K�aZ~�PTG

Page 20: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4!

XZGJm�P�G�]�XZO{|�b�XZQ$K�FHO�Y�IS~�P-YJXZO�N�ILK�XZb�YAFHGLP�GJP�O%F3ISKnjHP�O{|9YLQDX^XHIS~�s

xzOnO�m�KnYLMTGLPTILK�r�F�ISKnXZb�YqMTXZQD]�N�ISP�FHM�MTN�GSF�ILP�O{|RIS~�P�&�b�FHO�YLXZOnN�ISKnXZbRe�XZGqFHO�O�M�FHYJP�Y�U)aHGLX#d�IS~=XZb�O{|Z��M�XkFHa3«

N�O�F�ISKnXZb9XZb�On|Z��FHb�m=M�XZFHaZN�O�F�ISKnXZbR]�OnN�Y�aZGJX�d�IL~�[0s���~�P�YJP�MTXZb�m�FHb�m�IS~�KnGLm�XZGJm�P�G�bgN�QDP�GJK�M�FHO�YJXZO�N�ILK�XZb�Y

FHGJP�~�FHGJm�On|�m�K�YJILK�b�aHN�K�YJ~�FH��OnP�e�GLXHQ IS~�P-P�²�F�MTI*YLXZOnN�ISKnXZb���P0jZPTb�Kne2IL~�PT|=XZb�On|9N�YLP-¦���FHb�mVGLPTYL]�P�M0ISKnjHP�O{|

����Knb�Y�s

��~�PDm�P�MTGLP�FHYLP$K�b�b^N�Q$PTGLK�M�FHO�P�GJGLXZG�dAK{IS~�K�b�MTGLP�F�YLP�m£bgN�Q���P�G�XHey��Knb�Y�e�XZG�IS~�P�e�N�OnOCM�XkF�aZN�O%F3ISK�XHb

FHb�m�aZGLX#d�IS~�YJXZO�N�ISK�XHb�K�YRYL~�X#dAb K�b �,K�aZN�GJP ± OnPTe\I�s ��~�P?YLOnXZ]PTY�F�I$dA~�K�M/~ IL~�P?P�GJGLXZGJY9m�P�MTGLP�FHYLP

Knb�m�K�M�F�ISP=m�K{}�PTGLPTbgIRm�K�YJM�GJPTISKnr�F�ILK�XZb`XZGJm�P�GJY�s �,X£M�XZQD]�FHGJP�IS~�P�GLPTO%F�ILKnjHPV]�P�Gle�XZGLQ$FHb�MTP�X�e-m�Kn}P�GJP�bkI

]�XZOn|^b�XHQ$K�FHO�XZGLm�P�GLY¢IS~�P�PTGLGLXHGLY�FHGJP�]�OnXHILILP�m�FHaZFHK�b�YlIqIL~�P�bgN�Q���P�GyX�e,m�P�aZGJP�P�Y�X�e&e�GLP�PTm�XZQ K�b ��KnaZN�GJP± GLKnaZ~kI�s "£P�YJP�P�IS~�F�IAe�XZGAPT�^N�FHO,MTXZQD]�N�I/F3ISK�XHb�FHO�d¢XZG���IL~�P�~�K�aZ~�PTGAXZGLm�PTG�m�K�YLMTGLP0ISK�r�F�ISKnXZb�YA]�GJX�m�N�M�P

QDXZGLPAF�M�M�N�GSF�ILP*YJXZO�N�ISK�XHb�Y��gK�b�]�FHGJILK�M�N�O%FHG�IL~�P*]�K�PTM�PTdAKnYLPA�gN�FHm�GLF�ISKnM�m�K�YJM�GJPTISKnr�F�ILK�XZb�YJP�P�QDY�ISX��Pyd¢P�OnO

YJN�KnILP�m=e�XZG�YLXZO{j^K�b�a�FHPTGLXZYJXZO&m�|^b�FHQDK�MTY�s

��X�FHYLYJP�YJY-IL~�P�]�P�Gle�XZGLQ$FHb�MTP�XHe�IL~�P�]�KnP�MTPTdAK�YJP�]�XZOn|^b�XZQDK%F�O&m�K�YJM�GLP0ISKnr�F�ILK�XZbVXHe�IS~�P�M�XkF�aZN�O%F3ISK�XHb

PT�^N�F�ISKnXZbVd¢P�M�XZQD]�FHGJP�K{I*FHakFHKnb�YJIAIL~�P-YLP�QDK{«'K�QD]�O�KnM�K{IqQDPTIL~�X�m=XHe�©ZFHM�XH��YLXZb°t 4�ª � ¨ P�M0ISKnXZb 4 u�wps¢��~�P

d¢XZG��Z«']�GLPTM�K�YJK�XZb=m�K�FHaZGLFHQ$YqFHGLP�YJ~�X#dAb�Knb ��K�aZN�GLP�u�e�XZGAF�YLQ$FHOnO�ILK�QDP�YJILP�]£U ��QDK�bgN�ILP�Y/[yF�b�mVF�O�FHGLaHPILK�QDP�YJILP�]�U � , Q$KnbgN�ISPTY/[0sR��~�PRMT]�N¡ISKnQ$PTY�FHGLPDQ$P�FHYLN�GLP�m¡XZb°FVE,PTbgILK�N�Q � ]�GLX^M�P�YJYLXZGT� 4 s ��� ��r

dAK{IS~�IS~�P*��bkISP�O ��XZGJILGSFHb ª�, M�XZQD]�K�OnP�GTs���~�P*YLPTQ$K!«�K�QD]�OnK�M�K{I�QDPTIL~�X^m$~�F�YqF�M�XZQD]�FHGLFH��O�P�]�P�Gle�XZGLQ$FHb�MTPdAK{IS~�IS~�P?]�K�P�MTPTdAKnYLPcO�Knb�P�FHG$m�K�YJM�GJPTISKnr�F�ILK�XZb e�XHG9IS~�P?YJQRFHOnO�ILK�QDP�YJILP�] FHb�m K�Y�QDXZGLP�PT�DM�KnP�bkI=e�XZG

IL~�P=O%FHGJaZP9ISKnQ$P9YlISPT]�s �*K�aZ~�PTG�XZGLm�P�G�m�K�YJM�GJPTISKnr�F�ILK�XZb�Y�FHGLP=QDXZGLP�P0�$MTK�PTbgIDe�XZG�~�KnaZ~�P�G�F�M�M�N�GSFHMTK�P�YTs

­*XHISPAIS~�F3Iqe�XZG�IS~�P�YSFHQDP�FHM�MTN�GSFHM0|$IL~�P*]�K�PTM�PTdAKnYLP�]�XZO{|�b�XZQ$K�FHO�QDPTIL~�X�m�Y¢N�YJP�e�P0dqPTGyYLKnr�Pz��K�b�YzU�dAK{IS~

YJPTjZPTGSFHO�m�P�aHGLP�PTYCXHe�e�GLP�PTm�XZQ ]�P�G���K�b�[�IS~�FHb�IS~�PqYLPTQ$K!«�KnQ$]�OnK�MTKnIQ$P0IS~�X^m�s���~�PqYJP�QDK{«�KnQ$]�O�K�MTKnIQ$P0IS~�X^m

]�GJX�m�N�M�PTY�]�XZYJKnISK{jZP��ZjZXZOnN�Q$P�MTXZb�YJP�GJj�F�ILKnjHPH�^N�b�M�XHb�m�KnILK�XZb�FHO�O{|-YJI/F���O�PAYLXHO�N�ILK�XZb�YTs " K{IS~�IS~�P*]�K�P�MTPTdAKnYLP

]�XZOn|^b�XHQ$K�FHO�FH]�]�GLXkFHM/~£jZXZOnN�Q$PDM�XHb�YLPTGJj�F�ISKnXZb¡e�XZG�M�XZFHaZN�O�F�ISKnXZb£M�FHb°��P9FHM/~�K�PTjHP�miFHY�m�K�YJM�N�YJYLPTm�K�b

Page 21: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� 4#ª

¨ PTMTILK�XZb ��s 4 si­�N�Q��PTG�m�P�b�YJKnI�|iKnY�M�XZb�YJP�GljZP�m�e�XZG�aZGLX#d�IL~�sixzb`K�QD]�O�KnM�KnI-ILK�QDP�YJISPT]�]�Knb�acYLM/~�PTQ$P

M�FHb���P�N�YJP�m�U)Knb�YJILP�FHm�X�eCIS~�P�P0²�]�O�KnM�K{IzYJM/~�P�QDP�m�KnYLM�N�YLYLPTmcK�b ¨ P�MTILK�XZb���s uZ[AISX$~�F�jZP�N�b�M�XZb�m�KnISKnXZb�FHO

YlI/FH��KnO�K{I�|Z��FHO{IS~�XHN�aZ~°IS~�K�Y�Q$F�|°b�XHI��P�b�PTM�PTYLYSF�GJ|Zs`E�XZYLK{ISKnj^K{I�|¡KnY�Q$XHGLP9m�K{�DM�N�O{I�ISXcFHM/~�K�PTjHPH�qFHb�m

YJXZQ$P�j�FHOnN�P�Y-XHe¢IS~�P�]�XZOn|^b�XZQDK%F�O�m�KnYJISGJK���N�ISK�XHb?K�b�YJK�m�PDF=��K�bcQ$F#|��PDb�P�aZF�ISK{jZPHs$­�P0jZPTGJIS~�P�O�PTYLY�d¢P

P�²�]�P�M0I�IL~�P-��K�bVF�jZPTGSFHaHP�YAISX��P-b�XHb�«�b�PTakF�ILKnjZP�s

��%,���#�-� � � / ��~�KnY�ISP�YlI�]�GLXZ��O�P�Q YLXZO{jZPTYcIL~�PiM�XkF�aZN�O%F3ISK�XHb FHb�m aZGJX�d�IL~ X�eDI�d¢X�«'M�XZQD]XHb�P�bkI

FHPTGLXZYJXZO�K�b IL~�P¡jHXZO�N�QDP�m�P�b�YJKnI�| e�XZGLQ�N�O%F�ILK�XZb U)uk[0s ��~�P°K�b�KnISK�FHO�m�PTb�YLK{I�| KnY�IL~�P¡YJN�Q X�e�IS~�GJP�P

OnXZa�«�b�XZGLQ$FHO�m�KnYJILGLK���N�ISKnXZb�Y�FHb�m K�Y�YLKnQ$KnO%FHG9ILX�IS~�P¡XZb�P°N�YJP�m K�b ISPTYJI?]�GJXZ��OnP�Q x U)��N�I�dAKnIL~ F

m�K{}�PTGLPTbgIDKnbgILP�GJ]�GLP0I/F�ILK�XZbiXHe*IS~�P=]�GJX5&�OnP#[0si��~�PVM�XZFHaZN�O�F�ISKnXZb �HPTGLb�PTO*KnY�M�XZb�YlI/FHbkI�� < . ¬ �{4 uZu 4!, = � MTQ � ~ = � ]�FHGlISK�MTO�PTY = � ��FHb�m�IL~�P�b�XZGJQRFHOnK�rTP�m�aZGJX#d�IS~-GSF�ILP�Y&e�XZG�IL~�PCI�d¢X�YJ]PTM�K�PTY�FHGLP � � . , �n4 ~ = �FHb�m � � . 1 , � , ¦�~ = � s���~�P�YLKnQ�N�O%F3ISK�XHbRISKnQ$P�KnbgILP�GljHF�O�K�YA¦D~�XZN�GJY�s���~�P�Knb�KnILK%FHO�FHb�m=IS~�P�&�b�FHO&m�K�Y®«ILGLK���N�ISKnXZb�Y�FHGJP�YL~�X#dAb£K�b ��K�aHN�GLP �^s���~�PDIL~�GLPTP0«']P�F5��]�GJX5&�O�P�KnY-F�b^N�Q$PTGLK�M�FHO�O{|VM/~�FHO�OnP�b�aHK�b�a9ILP�YJI��b�P0jZPTGJIS~�P�O�PTYLYCIL~�P¢IL~�K�GJm�XZGJm�P�G,]�K�PTM�P0dAK�YLP¢]XHOn|^b�XZQDK%FHOHm�K�YJM�GLP0ISKnr�F�ILK�XZb�aZKnjHP�Y�F*j^K�YJN�FHO�O{|�jZPTGJ|�FHM�MTN�GSF3ISP

YJXZO�N�ILK�XZb9dAK{IS~=XZb�O{| ± YLKnr�P-��Knb�Y�s

� � ;$7?@��>�CBT;$7�¨ KnQ�N�O�F�ISKnXZb$X�e�F�P�GLXHYLXZOnYy]�O%F�|^YAF�YLKnaZb�K/&�M�FHbkIyGJXZO�PzK�b=FHKnGq]�XZO�OnN�ISKnXZbRQDX�m�P�O�Knb�a�s ��XZG�F�M�XHGLGLPTMTIAGJP�]�GJP0«YJP�bkI/F�ILK�XZb�XHe�]�FHGlISK�MTO�PTY�K�b�IS~�P�F3ISQDXZYL]�~�P�GLPqXZb�Pyb�PTP�m�YCILX�FHMTM�N�GLF�ISPTOn|�YLXZO{jZPqe�XZG�IS~�PqYLK�rTPym�KnYJISGJK���N�ISK�XHb

XHe,]�FHGlISKnM�O�Pz]XZ]�N�O%F�ILK�XZb�Y�s

��b�IS~�KnY�]�FH]�P�G�d¢P�]�GLXH]XZYJP�m�F�e)FHQDK�On|�XHe*m�KnYLMTGLPTILK�r�F�ISKnXZb°QDPTIS~�X�m�Y�e�XHG�IS~�P=F�P�GLXHYLXZOym�|�b�FHQ$KnM

PT�^N�F�ISKnXZb9��FHYJP�m9XHb9]�K�PTM�P0dAK�YLPz]XZO{|^b�XZQDK%FHO�m�K�YLMTGLP0ISK�r�F�ISKnXZb�Y�XHe&IS~�Pz]�FHGlISKnM�O�P*YLKnr�P�m�K�YlISGLKn��N�ILK�XZb�s,��~�P

Page 22: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬ ,

m�KnYJILK�b�aZN�K�YL~�K�b�a�M/~�FHGLFHMTILP�GJK�YJILK�M�XHeCIL~�K�Y*FH]�]�GLXkFHM/~�K�YAIS~�P�FH]�]�GJX�²�KnQRF3ISK�XHbVX�eCIS~�P�YLXZOnN�ISKnXZb=�k|�FDm�K�Y®«

MTXZbkISK�bgN�XHN�YRe�N�b�M0ISKnXZb��ydA~�KnM/~ F�O�O�X#dAY$FHb�FHMTM�N�GLF�ISP?GJP�]�GJP�YJP�bkI/F�ILK�XZb�X�e-m�K�YlISGLKn��N�ILK�XZb�Y�dAKnIL~ YL~�FHGL]

]�P�F5�gY�dAKnIL~=XZb�On|�F�YJQRF�O�O�bgN�Q��PTG*X�e�YJK�r�P-��Knb�Y�s

��~�P�aZGLX#d�IS~iISPTGLQ KnYDm�K�YLMTGLP0ISK�rTP�m�N�YLKnb�a£IL~�P�'�KnYLMTXZbkISK�bgN�XHN�Y$¯�FHOnP�G$�^Knb`FH]�]�GJXkFHM/~��qdA~�K�O�P9IL~�P

MTXkFHaZN�O�F�ISKnXZbzILP�GLQ K�Y&m�KnYLMTGLPTILK�rTP�m-N�YLKnb�a*F�M�XZOnO�X^M�F�ILK�XZbzFH]�]�GJXkFHM/~�s,��~�P�]PTGJe�XZGJQRFHb�M�P�XHegIS~�P�QDPTIL~�X^m�Y

KnY&K�O�OnN�YJILGSF�ILP�m�XHb-I�d¢XAISP�YlI�]�GLXZ��O�P�QDY�dA~�KnM/~�F�m�Q$K{I2FHb�F�On|gISKnM�FHO3YLXZOnN�ISKnXZb�YTs,E�GJXZ��O�PTQ x�~�FHY�F�YLQDX^XHIS~��

P�²�]�XZb�PTbkISK%F�O�jZXHO�N�QDPqm�PTb�YLK{I�|�dA~�KnM/~�N�b�m�PTGLaZX^P�Y�MTXkFHaZN�O%F�ILK�XZb�FHb�m�aZGJX#d�IS~�s�E�GJXZ��O�PTQ �°KnYCFzaHGLX#d�IS~

]�GJXZ��OnP�Q dAK{IS~�I�d¢XRM/~�PTQ$KnM�FHO�MTXZQD]XZb�P�bkISYA~�F�j^K�b�a�OnXZaZb�XZGJQRF�O�Q$FHYLY�m�PTb�YLK{ISKnP�Y�s

��~�P�]�K�PTM�PTdAKnYLP�]XZO{|^b�XZQDK%FHO�m�K�YLMTGLP0ISK�r�F�ISKnXZb�~�FHYqF�bgN�Q���P�G�XHe2F�IJISGLFHMTILKnjZPAe�P�F3ISN�GJP�Y��^dA~�K�M/~RQRF5��P

K{IAFDaHX�X^m�M�FHb�m�K�m�F3ISP�e�XZGAN�YJP�Knb�IS~�GJP�P-m�K�QDP�b�YLK�XHb�FHO�F�K�G�]�XZO�OnN�ISKnXZbRYJK�Q�N�O�F�ISKnXZb�YT 

���~�PRQDPTIS~�X�m¡FHO�OnX�dAY�FVM�XZb�YJK�YlISP�bkI�FHb�m¡YJK�Q�N�OnI/F�b�P�XZN�Y�ILGLP�F3ISQDP�bkI�X�e�M�XkF�aZN�O%F3ISK�XHb��&aZGLX#d�IL~��

YJXZN�GJM�P�Y�FHb�m=YJK�b �gY��

�x�M�MTN�GSF�ILP�YLXZOnN�ISKnXZb�YqFHGLP�XH��I/FHKnb�P�m9dAK{IS~=F�jHP�GJ|RYLQ$FHO�O�bgN�Q���P�G�XHe���Knb�Y�s���b�M�GLP�FHYLPTm�F�M�M�N�GSFHM0|

KnY�]XHYLYLKn��O�P�e�XHG-F &�²�PTm¡bgN�Q���P�G-XHe¢��Knb�Y-�g|cKnb�M�GJP�FHYJK�b�a9IL~�P�XZGLm�P�G-XHe¢]XZO{|^b�XZQDK%FHO�FH]�]�GJX#²�K!«

Q$F�ILK�XZb�YT��KWs¤P�s��g|9K�b�MTGLP�F�YLK�b�a�IL~�P-bgN�Q���P�GAXHe,m�P�aZGJP�PTY�XHe�e�GLPTP�m�XHQfK�b�YJK�m�P�P�FHM/~���K�b��

���XZG�IL~�PDYLK�b�aZO�P�MTXZQ$]�XZb�PTbkI�MTXkFHaZN�O%F�ILK�XZb�ILP�YJI�IS~�P$]�KnP�MTPTdAK�YJP$]�XZO{|�b�XZQ$K�FHO�m�K�YJM�GLP0ISKnr�F�ILK�XZbcXHeMTXkFHaZN�O%F�ILK�XZb=~�FHY�F$M�XHQ$]�F�GSFH��OnP�]�P�Gle�XZGLQ$FHb�MTP�dAK{IS~�IL~�P�YJP�QDK{«�KnQ$]�O�K�MTKnIqQ$P0IS~�X^m�e�XZG�O�X#d FHM�«

MTN�GSF�MT|VYLXZOnN�ISKnXZb�YT�F�b�m�K�Y*QDXZGLP�PT�DM�KnP�bkIze�XHG�~�KnaZ~�F�M�M�N�GSFHM0|Zs ��XHG*IL~�P�Q�N�OnISKn]�O�P�MTXZQD]XZb�P�bkIaHGLX#d�IS~�ILP�YlI�]�GLXH��O�PTQfIS~�P�]�K�P�MTPTdAKnYLP�]�XZO{|�b�XZQ$K�FHO�«qm�K�YJM�XZbkISKnbgN�XZN�Y-¯-FHOnP�G��gKnb�m�KnYLMTGLPTILK�r�F�ISKnXZb

U\dAKnIL~�XZN�IAOnK�QDKnISKnb�ag[CK�Y�QDXZGJP�PT�DM�KnP�bkIAIS~�FHb=IS~�P6�¢XHILIAQDPTIL~�X�m�s

" ~�KnO�PyIS~�P*]�K�P�MTPTdAKnYLP*�^N�FHm�GSF3ISK�M*FH]�]�GLX�²�K�Q$F�ISKnXZb�YLPTP�QDY�ILX-XH}�PTG�IS~�P*�PTYJI¢FHMTM�N�GLFHMT|k«'d¢XZG$�DMTXZQ�«

]�GJXZQDK�YLP���IL~�P£]�K�P�MTPTdAKnYLP�O�K�b�P�FHG9m�K�YLMTGLP0ISK�r�F�ISKnXZb K�Y=P�YJ]PTM�K�FHO�O{|�F�IJISGSF�MTISK{jZP?e�XZG9IL~�GLPTP£m�KnQ$PTb�YLKnXZb�FHO

Page 23: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬ 4

QDX�m�P�O�YCdA~�P�GLP�]�FHGlISK�MTO�P�m�|^b�F�Q$KnM�Y�K�Y�M�XHN�]�O�PTmDdAK{IS~DM/~�P�QDK�YlISGl|DFHb�m�IS~�PTGLQDX�m�|^b�F�Q$KnM�Y��gKnbDIL~�K�Y�M�F�YLP

FcQ$Knm�]�XZK�bkI�PTj�FHOnN�F�ILK�XZbiXHe�IS~�PVK�bkISPTaZGSF�OyISP�GJQ$YDM�F�b���PVN�YLP�m�ISX¡MTXZN�]�OnPVFHP�GJXZYLXZOAm�|^b�F�Q$KnM�Y$FHb�m

M/~�PTQ$KnYJILGJ|9ILP�GLQDY���IS~�PTGLPTe�XHGLP-GLPT�^N�K�GLKnb�a�XZb�O{|9XZb�P-P0jHF�O�N�F�ILK�XZb�X�e,IL~�P-M/~�P�QDK�M�FHO�ISPTGLQDYA]PTG���K�b�s

x MTXZQD]�O�P0ISP�j�FHOnK�m�F3ISK�XHb`X�e�IS~�P�]�GLXZ]�XZYJP�m e)FHQDK�O{|°XHe-QDPTIL~�X�m�YRM�F�b XZb�O{|���P�m�XZb�P�dAK{IS~�Knb F

IL~�GLPTP0«�m�K�QDP�b�YJK�XZb�F�O�QDX�m�PTO�M�XHbgILP0²^I�s���~�KnYAdAKnO�O�P�IS~�P-ILXZ]�KnM�XHe,e�N�ISN�GJP-d¢XZG$��s

� @���7�; � ��<�� � ��798 ���~�KnYqd¢XZG��DdyFHYqYLN�]�]�XZGlISP�m=�k|�­ ¨ �¡IS~�GLXZN�aH~Voqx���� ��� F#dqFHGJmVb�X�s�x*oq�p« ,�,Hª � 4 � ª FHb�m=­ ¨ �¡��� �

F�dqFHGLm£x�E������ , ¬ ,Z±�4#ª� sDE,FHGJI�XHeqIL~�P�K�QD]�O�PTQ$PTbkI/F�ILK�XZb�XHGLK�aHK�b�F�ILP�Y�e�GJXZQ IS~�P�£s ¨ s&IS~�P�YLKnY�d¢XZG$�

XHe�ozs �qXZGLm�P�b F3I�VK�M/~�KnakFHb`�,PTM/~�b�XZOnXZaZK�M�FHO ��b�KnjZPTGLYJKnI�|Zs���~�P�F�N�IS~�XHGDIL~�FHb �gY �£s¢©ZFHM�XZ��YLXZb`e�XZG

]�GJX#j�Knm�K�b�a�IS~�P-XZGJK�aZKnb�FHO�KnQ$]�O�P�QDP�bkISF�ISKnXZbRXHe�IS~�P�YJP�QDK{«'K�QD]�O�KnM�KnI�QDPTIL~�X�m�s

� � � ��:��7?@�� �t 4 w ��s8�As�xyI��gK�b�YJXZb�s������� ����������� ������� ������! #"��$���&%�'(��(%�'*),+��-+�.�©HXZ~�b " K�OnPT|�F�b�m ¨ XZb�Y�� 4�ª� � s

tv¬3w ��s8�AsHxyI �gK�b�YJXZb�s0/21�"3��4 #"��$���&%�'652��'*�! ������7�98:��� �"�;��<%�'4=3>��?%� ������6+��980 @1�"A52"B�B���(�DCE�@�(�F.oyFHQ�«

��GJK�m�aHP���b�K{jZP�GJYLK{I�|VE�GJP�YJY�� 4#ªZª �^s

t���w �qs ¨ s��¢K�b ��X�dAY$�gK-FHb�m ��s ¨ ~�FHb �3FHGTs ��~�P?GLPTaZK�XZb�FHOz]�F�GJISKnM�N�O�F�ISP�QRF3ILISPTGRQDX�m�P�Op  4  �Q$X^m�PTO

m�PTYLMTGLK�]�ISK�XHb�FHb�m�]�GJP�OnK�QDK�b�FHGl|�GLPTYLN�O{ISYTs2G����!�$�(%�'(�98�HI"B�BJ�1!),+����&%�'4�B"B+K"&%����B1^� 4-,�,   ¬Hu�� 4#ª�4 � ¬�u�� ¬ ,Zª �

4#ªHªk± s

t§¦Hw�ozs�m�P �qX^XZGTs�x ]�GSFHM0ISK�M�FHO�aZN�K�m�P�ILXDYJ]�O�Knb�P�YTs35LJ(�$�@�!;!"���M�N("��$'O%K;�PQ�E"�RTSU����V3� 4#ª � s

Page 24: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬Z¬

t ± w-x�s �qXHIJI�s2x ]�XZYLK{ISK{jZP*m�P &�b�KnISP�FHm�jZPTMTILK�XZb�YJM/~�P�QDP�XZ��ISFHK�b�P�m9�k|$b�XZb�OnK�b�P�FHG¢GJP�b�XHGLQ$FHO�Knr�F�ILK�XZb�XHe

IL~�P�FHm�jZPTMTILK�XZb + N�²�P�YTs�� ���� @1!'*)�� "&%� 1�"����A"��K��"�R�� 4Z4 ��  4-,�, u � 4H4Z4�± � 4#ª� Zª s

t u�w��s �*FHQ$FHb�F�IL~�FHb���E�s ©�s,oqGLN�ISr�PTb�� ��s ��s2xzb�m�GLP�F�PH��©�s�oqXZF5�gO�PT|H�.�-s '�K�M7��P�GLYJXZb��C©�s ��P�KnbkISr�PTb�«

��P�GJa��fx�s ��P0|^Q$Y�&�P�Onm�� ©�sv��s ��K�PT~�Op� '�s ��OnPT|Z� ��s ­�s ��GLKnYL~�b�FHQ�N�GlISKp� ©�s �-N�PTILILb�P�GT�

©�s�)2PTO�KnPTjZPTO�m�� ¨ s ozs�)2KnN���x�s¤E,s���K{ISGSF��`©�s�E�GLXHYL]�P�GLX��#�-s ¨ FHm�XZN�GJbk|Z�ix�s �qsV�,N�M7����FHb�m

�qs¤E,s ©�s��F�O�P�GJX�s ��b�m�X^P0² dA~�KnILPf]�FH]�P�GTs ��b�m�K�FHb ��M�P�FHb ��²�]PTGLK�QDP�bkI�� ~kILIL]�  �3d�d�dy«

Knb�m�X^P0²s¤N�M�YLm�s¤PTm�N��]�N���O�KnM�F�ILK�XZb�Y 3dA~�K{ISP ]�FH]PTG�� 4#ªHª� s

t0�3w �zs�oqX�M7�g��N�GJb�� ¨ s���s )&Knb�FHb�m�ozs�" s ¨ ~gN�s�� ��� �*N�b�aZP���N�ILISF�O�X^M�FHO�]�GJX3�JP�M0ISK�XHb '�K�YLMTXZbkISKnb^N^«

XZN�Y*¯�FHOnP�G$�^Knb &�b�K{ISP�PTO�PTQ$PTbgIAQDPTIL~�X^m9e�XZGqYJM�FHO�FHGyM�XHb�YLPTGJj�F�ISKnXZb=O%F�dAY�s��L�p«®¯-PTb�P�GLFHO�e�GSF�Q$P0dqXZG$��s

� %� 1�"� %� ����B+��98����� J(�! %� �������� ± ¬^ ¤¦ 4H4 � ¦1� ± � 4#ª� Hª s

t w �zsCoqX�M7�g��N�GLb�s�x�b°K�bkILGLX^m�N�MTILK�XZb�ISX�IL~�PRm�K�YLMTXZbkISKnb^N�XZN�Y�¯-FHO�PTG��gK�b�QDPTIS~�X�m¡e�XHG�MTXZbkjZP�M0ISKnXZb�«

m�XHQ$Knb�F�ISPTm=]�GLXZ��O�P�QDY�s�� "B�� ��!�B" �E�� 9"B+0���*b�KnjHP�GJYLKnI�|9XHe �VK�b�b�PTYLXHIJI/F���¬ ,�, ��s

t ª w ��s&­*aZN�|ZPTb°FHb�m '�s '�FH�m�N�� �ydqX�«'O�P0jZP�OCILK�QDP0«'QRFHGJM/~�K�b�a9YLM/~�PTQ$P�N�YJK�b�a=YJ]�O�Knb�P�Y�e�XZG�YJXZOnj^Knb�a

IL~�P�FHm�jZPTMTILK�XZbVP��gN�F�ILK�XZb�s�xyISQDXZYL]�~�P�GLKnM ��bkj^K�GJXZb�QDP�bkI � ±   4 uk¬��#« 4 u�������¬ ,�,�4 s

t 4!, w ��s�­�aZN�|HP�bVFHb�m'�s '�F��m�N�� ¨ PTQ$K!« )2FHaZGLFHb�aZK�FHb + N�²RYLM/~�PTQ$Pze�XHG¢IS~�PzYLXHO�N�ILK�XZb$XHe�IS~�P�FHP�GJXZYLXHO

MTXZb�m�PTb�YSF�ILK�XZb �PTj�FH]�XZGSF3ISK�XHbVPT�gN�F�ISKnXZb�s�x�P�GLXHYLXZO ¨ MTK�PTb�M�PE� ��P�M/~�b�XZO�XZa�|Zs��Zu� v¦ , �#«�¦ 4! ��¬ ,5, ¬�s

t 4Z4 w )�s �£s '�PTOnjZPTY�FHb�m�©�s8)�s ��XH~�FHQDP�m�s����� J(�! �%� �����(%�' #"� 1�����+:8 ��� �@�� �"�;��<%�'�"&>��6%� ������6+0s-oyFHQ�«

��GJK�m�aHP���b�K{jZP�GJYLK{I�|VE�GJP�YJY�� 4#ª� k± s

t 4 ¬3w '�s8��s '�N�GSF�b�s ���! #"��$���&%�'�� "� @1�����+38 ������%���" =3>��6%� �����6+ �@� HI"B�BJ�1!)K+����&%�'�� '*�4����� ) �(%� ����B+0s

¨ ]�GLK�b�aZP�G���P�GJO%FHa�­*PTdy«���XZG������qPTGLO�Knb�� �*P�K�m�P�O���P�GJa�� 4�ªZª� s

Page 25: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬5�

t 4 ��w�­�s¤x�s ��N�M/~�Y=FHb�m x�s ¯�s ¨ N�ILN�aZK�b�s ��KnaZ~ m�KnYL]�P�GJYLP�m F�P�GLXHYLXZOnY�s /(�BJ(���B+7�@� �Q�!�$��"��� ��"����K+K��'

�A"B+K"&%����B1^��¯�s �£s��*K�m�|9FHb�m�©�s �-s �qGJX�M7��PTm�KnILXZGLYT� 4 � u , � 4#ª � 4 s

t 4 ¦Hw �qs �£s�¯-PTO���FHGJm�FHb�mV©�s8��s ¨ P�Knb�e�P�Onm�sCoqXZFHaZN�O�F�ISKnXZbRF�b�m�aZGLX#d�IL~VX�e�F�Q�N�OnILK�MTXZQ$]�XZb�PTbkIqF�P�GLXHYLXZOWsG����!���(%�' �98 ����'@'-����� %��(����� �"��@8 %!�B"D52����"�� �B"0��u���U �k[� ¤¦3�H¬ � ¦3� ª � 4#ª � s

t 4�± w �qs �£s2¯�P�On��FHGJm?FHb�m�©�s8��s ¨ P�K�b�e�P�O�m�s�­*N�QDP�GLKnM�FHO�YLXHO�N�ILK�XZb�X�e�IS~�P�m�|^b�F�Q$KnM�P��gN�F�ILK�XZb�e�XHGz]�FHG®«ILK�M�N�O%F�ILP�YJ|^YJILP�QDY�s0G����4�$�(%�' �98 ���� J(�! %� ������(%�'���1!),+����B+0��¬  8� ± � � ��� ± � 4�ª � s

t 4 u�w �qs �£sg¯�P�On��FHGJm�FHb�mD©�s8��s ¨ PTK�b�e�PTO�m�s ¨ K�Q�N�O�F�ISKnXZb�X�eQ�N�OnILK�M�XHQ$]�XZb�PTbgI�FHPTGLXZYJXZO�m�|^b�FHQDK�MTY�s G����4�$M�(%�' �98�����'@'-�����#%��(� ��� �"��@8 %!�B"D52����"�� �B"0��� UW¬Z[0 v¦ k± � ±5,�4 � 4#ª� 5, s

t 4 �3w6�£s ¥�s�©ZFHMTXZ��YLXHb�s '�PTjHP�O�XH]�Q$PTbkI�FHb�m£FH]�]�OnK�M�F3ISK�XHb�XHeqF�b�PTd F�K�G�]�XZO�OnN�ISKnXZb�QDX^m�P�OnK�b�a9Yl|^YJISPTQ

«z�L�/s2xzPTGLXZYJXZO�Q$X^m�N�OnP�YJISGJN�MTILN�GLPRFHb�m£m�P�YJK�aZb�s�� � #�K+�J�1�"��$��� =�� �K�@������ #"��� W� � 4 UW¬Z[0  4 � 4 � 4 ¦Z¦��

4#ªHª ��s

t 4! w6�£s ¥�s�©ZFHMTXZ��YJXZb�s�­�N�Q$PTGLK�M�FHO�ISP�M/~�b�K��gN�PTY*ILX�YLXZO{jZP�M�XHb�m�P�b�YSF�ILK�XZb�F�O&FHb�m=m�KnYLYLXHO�N�ILK�XZb�F�O�aHGLX#d�IS~

PT�^N�F�ISKnXZb�YqdA~�PTb�aZGLX#d�IL~�K�YqMTXZN�]�OnP�mRILX�GLP0jZPTGLYLKn��O�PzGLP�F�MTISKnXZb�YTs �"����K+K��'U52����"�� �B"�%��(� /("B�B1!� ��'*M

�&;�)3��¬��� v¦ ª�4 � ¦ ª� � 4#ªZª ��s

t 4#ª w6�£s ¥�s�©ZFHMTXZ��YLXHb�s � �!�(�F%� #"��� %�' + �98 %� #�K+�J�1�"��$��� #���!"�'*�@�!;HsDoyFHQ���GJK�m�aZP �*b�KnjHP�GJYLKnI�|?E�GJP�YJY��

4#ªHªZª s

tv¬ , w�ozs�©HXZ~�b�YLXZb�s ��! #"������&%�'�52��'*�! �������98��3%��$ ��%�' � � ��"���"��� ���%�'6=0>��6%� ������6+���) 1�" ���@���@ �"0=�'-"� #"���

� "� 1����F.¢oyFHQ���GJK�m�aHP���b�K{jZP�GJYLK{I�|VE�GJP�YJY�� 4#ª� �^s

Page 26: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬�¦

tv¬ 4 w���s E�s ��KnQ FHb�m9©�s ��s ¨ P�K�b�e�P�O�m�s ¨ KnQ�N�O%F3ISK�XHb�XHe�Q�N�OnISKnM�XZQD]�XZb�P�bkI�F�P�GLXHYLXZO�M�XHb�m�P�b�YSF�ILK�XZb$�g|�IL~�P

QDX#j�Knb�acYLPTMTISKnXZb�FHO�QDPTIL~�X^m�s G����!�$�(%�'I�98�����'@'-����� %��(����� �"��@8 %!�B" 52����"�� �B"0� 4 � ± U 4 [0  4! k± � 4#ªZª �

4#ªHª�, s

tv¬Z¬3w �qs�" s�)&N�GLQ$FHb�b���x�s ¨ s "¡P�²�O�P�GT� ¨ s ­�s�E�FHb�m�K�Y�� ¨ s��VN�YSFHGLF��y­�s ��N�Q$FHG���FHb�m�©�s8��s ¨ P�K�b�e�P�O�m�s

��X^m�PTO�K�b�a?N�GL��F�b�FHb�m`GJP�aZKnXZb�FHOyFHP�GJXZYLXZOnY�«�K�KWsCFH]�]�O�KnM�F�ILK�XZb¡ILX£oyFHO�K{e�XZGLb�K�F��vY�YLXHN�IS~iM�XZFHYJI$FHKnG

��F�YLK�b�s:� #�K+�J�1�"��$����=�� �K�@������ #"��� W� � 4   ¬Hu ªk± � ¬�� 4�± � 4#ªZª ��s

tv¬5��w-x�s¤x�s )&N�YL~�b�K ��X�j�s �CjHXZO�N�ILK�XZbRXHe�M�XkFHaHN�O%F�ILK�b�a�YJ|^YlISP�QDY�K�KnKpskMTXkFHaZN�O�F�ISKnb�a�QDK{²^ILN�GLPTY�s�G����!�$�(%�' �98

����'@'-����� %��(� ��� �"�� 8 %!�B"�52����"�� �B"0� ± ¦�U 4 [0  ª ¦ � 4-,�4 � 4#ª �Hu�s

tv¬�¦Hw�¥�s ��PTb�a�� '�s '�FH��m�N�����FHb�m°©�s8��s ¨ PTK�b�e�PTO�m�s ¨ Knr�P�«�GLPTYLXZO{jZPTm¡FHb�m£M/~�PTQ$KnM�FHOnOn|�GLP�YJXZOnjHP�m�Q$X^m�PTO

XHe&F�ISQDXZYL]�~�P�GJK�M*FHP�GJXZYLXHOm�|^b�F�Q$KnM�Y�s G����!�$�(%�' �98 HI"B�BJ�1!)K+����&%�' � "B+K"&%����B1^� 4!, ��U '��k[�  �H¦ 4#ª � �H¦�� ± �

4#ªHª� s

tv¬ ± w6�£sZE�~�FHm�b�KnY�FHb�m$¯�s8�-skoyFHGJQ$KnM/~�FHP�OWs���GSFHb�YJ]XHGJI�FHb�m�m�KnYJILGLK���N�ISKnXZb�XHe�]�GJK�Q$FHGJ|�FHb�m�YJP�MTXZb�m�FHGl|

b�XHb�«�QDPTIL~�FHb�P�~g|^m�GJX�M�FHGL��XZb�YzK�b�P�FHYJIzxzYJK%F$N�b�m�P�GzM�XZbkISKnb�P�bkISFHO,XHN�I + X#d M�XHb�m�KnILK�XZb�Y�sDG6. HI"B��M

J�1!)K+�. �A"B+�.���K�b=]�GJP�YLYT� 4#ªZªZª s

tv¬Hu�w�ozs�E�K�OnK�b�KnY�s�'�P�GJKnj�F�ILK�XZb�F�b�m�bgN�QDP�GJK�M�F�O�YLXZOnN�ISKnXZb=XHe�IL~�P-YL]�P�MTK�P�Y�QRF�YLYAm�K�YlISGJK���N�ILK�XZb�PT�gN�F�ISKnXZb

e�XZG�Q�N�OnISKnM�XZQD]�XZb�P�bkI�]�FHGJILK�M�N�O%F�ILPyYJ|^YJILP�QDY�s � � #�K+�J�1�"��$���3=�� �K�@�B���� #"��� )�^¬�¦Zx�U �Z[�  4�ª ¬5� � 4�ª ¬ �

4#ªHª�, s

tv¬��3w-x�s ¨ FHb�m�N�FHb�m�ozs���s �qXZGJm�P�b�s¡x ��GLFHQDPTd¢XZG��ce�XZG�IL~�PV­�N�QDP�GJK�M�F�Oq��GLP�F3ISQDP�bkI�XHe*xzPTGLXZYJXZO'z|^b�FHQDK�MTY�s:��JFJ('*��"&� ��4 #"��$���&%�' � %� 1�"� %� ����B+y¦ ±  ¤¦1� ± � ¦ ª ����¬ ,5, ��s

Page 27: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬ ±

tv¬ w-x�s ¨ FHb�m�N�s¢x ¨ ]PTMTISGLFHO ��PTIL~�X^mVe�XZG ¨ XHOnj^K�b�a�x�P�GLXHYLXZO 'z|^b�FHQDK�MTYR��P�M/~�b�KnM�FHO �AP�]�XZGJIzo ¨ � �y«

,�4 « , ¦��'�P�]�FHGlISQDP�bkIiXHe�oqXZQD]�N�ISPTG ¨ M�KnP�b�MTPH����K�M/~�K�akFHb ��P�M/~�b�XZO�XHaZK�M�FHO ��b�KnjZPTGLYJKnI�|Z� 4 ¦ ,�,

��X#dAb�YLPTb�m�'�GLK{jZP�� ��XZN�aZ~kISXZb�� �V�q¦ ªZª � 4 ��¬ ,5,�4 s

tv¬ ª w-x�s ¨ FHb�m�N�s�x ­*PTd�ILXZb�«loqX�ISP�Y ��N�FHm�GSF�ILN�GLP-xz]�]�GLXkF�M/~Ve�XZG ¨ XZOnj^K�b�a�IS~�P-x�P�GLXHYLXZO�oqXkF�aZN�O%F3ISK�XHb

���gN�F�ILK�XZb � #�K+�J�1�"��$����=�� �K�@������ #"��� )� �Zu�  ±5 � � ±5 Zª ��¬ ,�, ¬�s

t�� , w-x�s ¨ FHb�m�N�s x�P�GLX ¨ XZOnjHPH  x ¨ XZO{jZPTG E�FHM7�3FHaHP e�XZG x�P�GJXZYLXZO 'z|�b�FHQ$KnM ���gN�F�ILK�XZb�s

~kILIL]�  ��]�P�XZ]�OnPHsvM�YTsvjgI�svP�m�N� �-FHYSFHb�m�N� ¨ XHe\I�dqFHGLP-�xzPTGLX ¨ XZOnjHP! oqXZQ$]�N�ISPTG ¨ M�K�PTb�M�P '�P�]�FHGJIl«

QDP�bkI�� �zK�GJaZK�b�K�F�E,XHOn|gISPTM/~�b�K�M-��b�YlISK{ISN�ILP�F�b�m ¨ I/F�ILP ��b�K{jZP�GJYLK{I�|Z��¬ ,�, ��s

t�� 4 w-x�s ¨ F�b�m�N�� '�s ­�s '�F�P�YLMTN�����s�oq~�F�Kp��¯�s8��soyFHGJQ$KnM/~�FHPTOp�©�s ��s ¨ P�Knb�e�P�Onm���E�s ¯�s ��PTYLY���FHb�m���s8)�s

x�b�m�P�GJYLXZb�s oqXZQ$]�N�I/F�ILK�XZb�FHOAxzYL]�P�M0ISY�XHe-¦�'�« ��FHGRoq~�P�QDK�M�FHOAm�F�ISF¡xzYJYLK�QDK�O�F�ISKnXZbiK�b xyILQ$X3«

YJ]�~�P�GJK�M6��X^m�P�OnY�s�¢s '�FHGLPTQRF=U�P�m�s [0� 'z|�b�FHQ$KnM�'�F�ISF '�GLKnjHP�b=xz]�]�O�KnM�F�ILK�XZb�Y ¨ |^YJILP�QDY�����O�Nkd¢P�Gx�M�FHm�PTQ$KnM-E�N���O�KnYL~�PTGLYT��¬ ,�, ¦�s

t��k¬3w�©�s8��s ¨ PTK�b�e�PTO�m�F�b�m ¨ s ­�s�E,FHb�m�KnY�sA� � #�K+�J�1�"��$�����B1�"� ��-+� �$) %��(�EJ�1!)K+����B+�. �2���� %��@�0J���'@'*�! �����

�� ��'*�@ %� 9"��B16%��!;!"�.�©HXZ~�b " KnO�PT| � ¨ XZb�Y�����b�M�sn� 4#ªHª ��s

t�����w�ozs8��s ¨ XZb�aRFHb�mc¯�s �-soyFHGLQDK�M/~�FHP�OWsAE�FHGlISKnILK�XZb�K�b�a�XHe���­����RQDX�m�N�O%F�ILP�mV�k|�FHO/�3FHO�Knb�P-FHP�GJXZYLXHO

]�F�GJISKnM�OnP�Y�s3G6.3HI"B�BJ�1!)K+�.��A"B+�.���K�b�GJPTj^K�P0d-� 4�ªZªZª s

t��H¦Hw�ozs8��s ¨ XZb�a���¯�s8�-s*oyFHGLQDK�M/~�F�P�Op�zFHb�m ¨ s���s�oq~�X�s xzb F�OnISPTGLb�F3ISKnjHP�dyF�| ISX`M�XHN�]�O�P �gK�b�PTISKnM

U�b�XZb�«'P��gN�K�OnK���GJK�N�Q �MTXZb�m�PTb�YSF�ILK�XZb �PTj�FH]�XZGSF3ISK�XHb�]�GJX�MTP�YJY=dAK{IS~�IS~�P�GLQDX^m�|^b�FHQDK�M�PT�^N�K�O�Kn��GLKnN�Q

GJP�O%F3ISK�XHb�YL~�Kn]�Y�s � #�K+�J�1�"��$����=�� �K�@������ #"��� W��ISX��P-YJN���QDKnILILP�m�� 4#ªZªZª s

t�� ± w )�s¤­�s��,GJPTe�P0IS~�PTb�s ¨ ]�P�MTILGSFHOAQDPTIL~�X�m�YDKnb ��F�ISO�FH��s ¨ ��x�� ¨ XHe\I�dyF�GLPH����bkj^K�GJXZb�QDP�bkISYT���,X^XZOnY

¨ PTGLKnP�Y���¬ ,�,�, s

Page 28: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬Hu

t��Zu�w ��s���YSFHb�aRFHb�m�©�s ��s �*K�]�]�PHs�x�YJ|^Q$]�ISXHILK�M-�PT~�F�j^K�XZG�XHeCFHP�GJXZYLXHO&aZGLX#d�IS~VK�b�IL~�P�e�GJP�P-QDXZO�PTM�N�OnP

GJP�aZKnQ$P�s���"����K+K��'252����"�� �B" %��(� /U"B�B1!� ��'-�&;�)3�   ¬Hu ± � ¬�� � 4#ª� � s

t��1�3w�E,FHb�m�KnY�� ¨ s,­�s{�Cx�s ¨ s "¡P�²�OnP�GT��FHb�mi©�s ��s ¨ PTK�b�e�PTO�m�s ¨ P�MTXZb�m�F�GJ|£XZGLakF�b�K�M$FHP�GJXZYLXHO�e�XZGJQRF3ISK�XHb

FHb�m£ISGLFHb�YJ]XZGlI� -�L�/s2E�GJP�m�KnMTISKnb�a=IS~�P$FHQ���KnP�bkI-YLPTM�XZb�m�FHGJ|�XZGJakFHb�KnM�FHP�GJXZYLXHO�YLK�rTP$m�K�YJILGLKn��N�ISKnXZb�s

xyILQ$XZYTs���bgj^KnGLXZb�s�¬5��  ¬3¦ , �3«®¬�¦ 4 u�� 4#ªZª ��s

t�� w�"£P0²�O�PTG�x�s ¨ sn�+�¢s " s1)&N�GJQRF�b�b��kFHb�mD©�s���s ¨ P�Knb�e�P�Onm�s1�VX�m�PTO�Knb�azN�GJ��FHbDFHb�m�GJP�aZKnXZb�FHO�FHPTGLXZYJXZO�YT 

�/s ��X^m�PTO&m�PTjHP�O�XH]�Q$PTbkI�s�xyISQDXZY�s ��bkj^K�GJXZb�s�¬   ± � 4 « ± ¦Zu�� 4�ªZª ¦�s

t�� ª w '�~�F�b�Kn|ZFHO%F�� ¨ s�FHb�mVx�s ¨ s "¡P�²�O�P�GTs�­�N�QDP�GJK�M�FHO�YLM/~�P�QDP�Y�ILX�Q$X^m�P�O�M�XZb�m�P�b�YLF�ISKnXZb�F�b�m=PTj�FH]�X�«

GLF�ISKnXZb=XHeCF�P�GLXHYLXZOnY�s�xyILQ$XZYTs ��bkj�KnGLXZb�s�� ,   ª�4#ª « ª ¬ � 4#ªZª u�s

t§¦ , w�¥�~�F�b�a��1��s �£skFHb�m�x�s ¨ s5"¡P�²�O�P�GTs1��X^m�PTO�K�b�azIS~�Pqb^N�Q��PTG�m�K�YlISGJK���N�ILK�XZb�Y�XHe�N�GJ��FHbDFHb�m�GJP�aZKnXZb�FHO

FHPTGLXZYJXZO�YTs�xyISQDXZY�s ��bkj^K�GJXZb�s��Zu�  4! u��3« 4- ��¦���¬ ,�, ¬^s

t§¦ 4 w���sy¥�~�F�b�a��A©�s8��s ¨ P�Knb�e�P�Onm�� �£s ¥�sq©ZFHM�XZ��YLXZb��AF�b�m �qs ¨ s �qK�b �HX#dAY��gKps ¨ KnQ�N�O%F3ISK�XHb`X�e-FHP�GJXZYLXHO

m�|^b�F�Q$KnM�Y� iF�MTXZQ$]�FHGSF�ILKnjHP?GLPTj^KnPTd X�e�F�O�aZXZGJKnIL~�Q$Y$N�YLPTm Knb FHK�G9�gN�F�O�KnI�|�Q$X^m�PTO�Y�s ��"����K+K��'

52����"�� �B" %��(� /U"B�B1!� ��'-�&;�)3� � 4  v¦ � � ±�4 ¦�� 4#ªZªZª s

Page 29: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬��

10−6

10−4

10−2

100

102

0

500

1000

1500

Mas

s D

ensi

ty

Initial Species 1

10−6

10−4

10−2

100

102

0

0.5

1

1.5

2

2.5x 10

5

Mas

s D

ensi

ty

Initial Species 2

10−6

10−4

10−2

100

102

0

2

4

6

8

10x 10

7

Mas

s D

ensi

ty

Bott−1 (12 bins)DG−1 (12 bins)Exact

10−6

10−4

10−2

100

102

0

0.5

1

1.5

2

2.5x 10

5

Mas

s D

ensi

ty

Bott−1 (12 bins)DG−1 (12 bins)Exact

10−6

10−4

10−2

100

102

0

2

4

6

8

10x 10

7

Particle Diameter [µm]

Mas

s D

ensi

ty

Bott−3 (20 bins)DG−3 (8 bins)Exact

10−6

10−4

10−2

100

102

0

0.5

1

1.5

2

2.5x 10

5

Particle Diameter [µm]

Mas

s D

ensi

ty

Bott−3 (20 bins)DG−3 (8 bins)Exact

��KnaZN�GJP 4  ���~�P*YLXHO�N�ILK�XZb�Y�X�e�IS~�P�aZGJX#d�IS~DP��gN�F�ILK�XZb�dAKnIL~ '�KnYLM�XHbgILK�bgN�XZN�Yq¯-FHOnP�G��gKnb�FHb�m�¢XHILI�QDPTIL~�«X^m�Y�e�XZG�IL~�P &�GLYlI,MTXZQD]XZb�P�bkI¢U)OnPTe\I�[�F�b�m-YLP�MTXZb�m�M�XZQD]XHb�P�bkI¢U)GJK�aZ~kI/[0s���b�KnILK%FHO3M�XZb�M�P�bkILGSF�ILK�XZb�Y¢U�N�]�]�P�G

]�OnXHISYS[0��OnK�b�P�FHGzm�K�YLMTGLP0ISK�r�F�ISKnXZb�Y�U)QDK�m�m�OnP�]�OnXHISYS[0��FHb�mcM�N���K�M�m�KnYLM�GJPTILK�r�F3ISK�XHb�Y�U�O�X#dqPTG�]�O�X�ISY/[�s ��XHG�FHO�OYJK�Q�N�O�F�ISKnXZb�Y�IS~�P '�K�YJM�XZbkILK�bgN�XZN�Y*¯-FHOnP�G��gKnb�YLXZOnN�ISKnXZb�K�Y�e)FHYlISP�GAF�b�m�QDXZGJP-FHM�MTN�GSF�ILPHs

Page 30: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Vol

ume

dens

ity

Order 0

InitialComputedExact

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Vol

ume

dens

ity

Order 1

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Particle volume [µ m3]

Vol

ume

dens

ity

Order 2

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Particle volume [µ m3]

Vol

ume

dens

ity

Order 3

��KnaZN�GJPA¬� ���~�P�YJXZO�N�ISK�XHb�Y�e�XZG�IL~�PAaZGLX#d�IL~$PT�^N�F�ISKnXZb�XZ��ISFHK�b�PTm�dAKnIS~�b�m�XHe . 4 ¬�m�P�aHGLP�PTY�XHee�GJP�PTm�XZQV�

m�K{}�PTGLPTbgI�m�KnYLM�GJPTILK�r�F3ISK�XHb�XZGJm�P�GJY�s*��~�P�bgN�Q��PTGzXHe���K�b�Y*K�Y 4 ¬�U�XZGLm�P�G , [0��u�U�XZGLm�PTG 4 [���¦cU)XZGJm�P�Gz¬Z[��

FHb�m �RU)XZGJm�P�G �k[�sC��~�PzbgN�QDP�GJK�M�FHO�YLXZOnN�ISKnXZb�K�Y�]�OnXHILILP�m$F�I 4!, ]�XZKnbgILY�U)YL�gN�F�GLP�YS[�Knb$P�FHM/~9��Knb�s.�*K�aZ~�PTG

XZGJm�P�G�m�K�YLMTGLP0ISK�r�F�ISKnXZb�YAFHGJP�jZP�Gl|VFHM�MTN�GSF3ISP-m�P�YJ]�KnILP-N�YLKnb�aDFDYJQRFHOnO�bgN�Q���P�GAXHe,��Knb�Y�s

Page 31: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ¬ ª

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Vol

ume

dens

ity

Order 0

InitialComputedExact

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Vol

ume

dens

ity

Order 1

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Particle volume [µ m3]

Vol

ume

dens

ity

Order 2

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Particle volume [µ m3]

Vol

ume

dens

ity

Order 3

��KnaZN�GJP�� D��~�P�YLXHO�N�ILK�XZb�Y�e�XZG�IL~�P9M�XZFHaZN�O�F�ISKnXZb¡PT�^N�F�ISKnXZb�XZ��ISFHK�b�PTm¡dAKnIL~�b�m�XHe . 4 ¬�m�PTaZGLPTP�Y�XHe

e�GJP�P�m�XZQ���m�K{}�PTGLP�bkIzm�K�YJM�GLP0ISKnr�F�ILK�XZb�YTs���~�P�bgN�Q���P�G�XHe���Knb�Y*K�Y 4 ¬�U)XHGLm�PTG , [���u�U)XZGJm�P�G 4 [0��¦cU�XZGLm�PTG

¬Z[��CFHb�m%�°U�XZGLm�P�G6�k[0s=��~�P$b^N�Q$PTGLK�M�FHO�YLXZOnN�ISKnXZbcK�Y�]�O�X�ILISPTm°F�I 4!, ]XZKnbkISYRU)YL�gN�F�GLP�YS[�Knb¡P�F�M/~°��K�b�s

�*K�aZ~�PTG�XZGLm�P�GAm�K�YJM�GJPTISKnr�F�ILK�XZb�Y�FHGLP�jHP�GJ|VF�M�M�N�GSF�ILP�m�P�YL]�KnISP-N�YJK�b�aDF�YLQ$FHO�ObgN�Q���P�GAXHe,��K�b�YTs

Page 32: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� � ,

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Vol

ume

dens

ity

Order 0

InitialComputedExact

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Vol

ume

dens

ity

Order 1

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Particle volume [µ m3]

Vol

ume

dens

ity

Order 2

10−3

10−2

10−1

100

0

1000

2000

3000

4000

Particle volume [µ m3]

Vol

ume

dens

ityOrder 3

��KnaZN�GJP�¦� C��~�P*YLXZOnN�ISKnXZb�Y�e�XZG�IS~�P*e�N�OnO�U)MTXkFHaZN�O�F�ISKnXZb�FHb�m$aZGLX#d�IL~�[�PT�gN�F�ISKnXZbDXZ��I/F�K�b�PTmDdAK{IS~Db�m�XHe .4 ¬�m�P�aZGJP�PTY�XHe&e�GLPTP�m�XZQV��m�Kn}P�GLPTbkI�m�K�YJM�GJPTISKnr�F�ILK�XZb�Y�sC��~�Pzb^N�Q��PTG�XHe2��Knb�YqKnY 4 ¬9U�XZGLm�PTG , [���u=U�XZGLm�PTG

4 [���¦°U)XZGJm�P�G�¬Z[0��FHb�m �¡U)XZGJm�P�G �k[0s=��~�P9bgN�QDP�GJK�M�FHO�YLXZOnN�ISKnXZb£KnY�]�O�XHIJISP�m°F�I 4-, ]�XZK�bkISYRU)YJ�gN�FHGLPTY/[

Knb�P�FHM/~���Knb�s ��KnaZ~�P�GAXZGJm�P�G�m�K�YJM�GJPTISKnr�F�ILK�XZb�Y�F�GLP-jZP�Gl|�F�M�M�N�GSF�ILP�m�PTYL]�K{ISP�N�YLKnb�a9FDYLQ$FHO�O&bgN�Q���P�G*XHe

��Knb�Y�s

Page 33: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� � 4

3 5 8 12 2010

−4

10−3

10−2

10−1

100

No. of Bins

RM

S E

rror

0123

5 9 16 28 5010

−4

10−3

10−2

10−1

100

No. of Degrees of Freedom

0123

��KnaZN�GJP ±   ��GJGLXZGJY�Knb�IL~�PDb^N�Q$PTGLK�M�FHO�YLXHO�N�ILK�XZb�Y�X�eqIS~�P�e�N�O�O*U)MTXkFHaZN�O%F�ILK�XZbcFHb�m£aZGJX#d�IS~�[�P��gN�F�ILK�XZb�s��~�P�P�GJGLXZGJY�FHGJP�]�OnXHILILP�m�F�akFHK�b�YJI*IS~�P�b^N�Q��PTGzXHeC��K�b�Y�U)OnPTe\I/[*FHb�m?FHakFHKnb�YJIAIL~�P�bgN�Q���P�G�XHe�m�PTaZGLPTP�Y

XHe�e�GLPTP�m�XHQ U)GJK�aZ~kI�[�s

Page 34: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� �k¬

0.004 0.012 0.04 0.12 0.40.0005

0.002

0.007

0.025

0.1

CPU Time [ sec ]

RM

S E

rror

∆ t = 3 min

SIPP1PP2PP3

0.001 0.003 0.01 0.03 0.10.0005

0.002

0.007

0.025

0.1

CPU Time [ sec ]

RM

S E

rror

∆ t = 30 min

SIPP1PP2PP3

��KnaZN�GJP�u� �xzMTM�N�GLFHMT|k«'d¢XZG$��m�K%FHaHGSFHQDYqe�XZGyIL~�P-YLXZOnN�ISKnXZb�Y�XHe�IS~�P-MTXkFHaZN�O�F�ISKnXZb9PT�^N�F�ISKnXZbVdAK{IS~=]�KnP�M�P�«dAKnYLP9]�XZOn|^b�XHQ$K�FHO�]XHOn|^b�XZQDK%FHO�m�K�YLMTGLP0ISK�r�F�ISKnXZb�Y�FHb�m°dAK{IS~¡IL~�P9YLPTQ$K!«�KnQ$]�OnK�MTKnI�QDPTIL~�X�m�s���~�PRILK�QDP

YlISP�]�Y�FHGLP ��QDK�b�s£U�O�PTe\I�]�F�b�P�O%[�FHb�m � , QDK�b�s�U�GLKnaZ~kI�]�F�b�P�O%[0sV��~�PRYJP�QDK{«�KnQ$]�O�K�MTKnIzQ$P0IS~�X^m¡~�F�Y�F

MTXZQ$]�FHGSFH��O�P*]PTGJe�XZGJQRFHb�M�P�dAK{IS~9IL~�P�]�KnP�M�P0dAK�YJP�O�Knb�P�FHG�m�KnYLM�GJPTILK�r�F3ISK�XHb$e�XZG�IS~�P�YJQRF�O�O�ISK�QDP*YJISPT]VFHb�m

KnY�Q$XZGJP�PT�DM�KnP�bkI-e�XZG�IS~�PDO�FHGLaHP�ISK�QDP�YlISP�]�s4�*K�aZ~�P�G�XZGJm�P�G-m�KnYLM�GJPTILK�r�F3ISK�XHb�Y�FHGJPDQDXZGJP�PT�DM�KnP�bkI-e�XZG

~�KnaZ~�PTGAFHM�MTN�GSFHMTK�PTY�s

Page 35: , F/@MV]d @MkR@MHYoYP U'k t6DX =XoYP#people.cs.vt.edu/~asandu/Deposit/aerosol_ppoly.pdf · 2005-10-22 · u xzg2m/~p qdk m fhokp gnkno k glk%fz[ e xzg2mkn} P GJP bkI,] FHGJILK MTO

������������ ������������������������! ���#"$�%���&���#�'��()�)�����*��+,�-�/.����0���21* ����3"$���/� ���

10−6

10−4

10−2

100

102

0

250

500

750

1000

1250

Vol

ume

Den

sity

Component 1

InitialBin Boundaries

10−6

10−4

10−2

100

102

0

0.5

1

1.5

2

2.5x 10

5

Vol

ume

Den

sity

Component 2

InitialBin Boundaries

10−6

10−4

10−2

100

102

0

0.5

1

1.5

2

x 104

Particle Volume [ µm3 ]

Vol

ume

Den

sity

PP−3ReferenceBin Boundaries

10−6

10−4

10−2

100

102

0

1

2

3

4x 10

4

Particle Volume [ µm3 ]

Vol

ume

Den

sity

PP−3ReferenceBin Boundaries

��KnaZN�GJP �^ ���~�PRP0jZXZOnN�ISKnXZb¡XHeqIS~�P9¬�«�YJ]PTM�K�PTY�FHPTGLXZYJXZOzU�ISPTYJI�]�GLXZ��O�P�Q o�[�s,��XZ]°]�F�b�P�OnY� �IL~�PRKnb�KnILK%FHO

m�KnYJILGLK���N�ISKnXZb�s.�¢XHILILXZQ ]�F�b�P�OnY� CIS~�P�&�b�FHO�m�K�YJILGLKn��N�ISKnXZb9MTXZQ$]�N�ISPTm=dAK{IS~9IL~�P�IS~�KnGLm�XZGJm�P�G�]�K�P�MTPTdAKnYLP

]�XZOn|^b�XHQ$K�FHOm�K�YLMTGLP0ISK�r�F�ISKnXZb=FHb�mVXZb�O{| ± ��Knb�Y�K�Y�j^K�YJN�FHO�O{|$jHP�Gl|VFHM�MTN�GSF�ILPHs


Recommended