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Back Matter Source: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 365, No. 1723 (Apr. 27, 1979), pp. i-iv Published by: The Royal Society Stable URL: http://www.jstor.org/stable/79669 . Accessed: 06/05/2014 02:41 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. . The Royal Society is collaborating with JSTOR to digitize, preserve and extend access to Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences. http://www.jstor.org This content downloaded from 194.29.185.192 on Tue, 6 May 2014 02:41:35 AM All use subject to JSTOR Terms and Conditions
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Page 1: Back Matter

Back MatterSource: Proceedings of the Royal Society of London. Series A, Mathematical and PhysicalSciences, Vol. 365, No. 1723 (Apr. 27, 1979), pp. i-ivPublished by: The Royal SocietyStable URL: http://www.jstor.org/stable/79669 .

Accessed: 06/05/2014 02:41

Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at .http://www.jstor.org/page/info/about/policies/terms.jsp

.JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range ofcontent in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new formsof scholarship. For more information about JSTOR, please contact [email protected].

.

The Royal Society is collaborating with JSTOR to digitize, preserve and extend access to Proceedings of theRoyal Society of London. Series A, Mathematical and Physical Sciences.

http://www.jstor.org

This content downloaded from 194.29.185.192 on Tue, 6 May 2014 02:41:35 AMAll use subject to JSTOR Terms and Conditions

Page 2: Back Matter

PROCEEDINGS OF

THE ROYAL SOCIETY

OF LONDON

SERIES A VOLUME 365

MATHEMATICAL AND PHYSICAL SCIENCES

1979

PUBLISHED BY THE ROYAL SOCIETY 6 CARLTON HOUSE TERRACE LONDON SWIY 5AG

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Page 3: Back Matter

The four numbers in this volume can be obtained separately from the Royal Society, 6 Carlton House Terrace, London SW1Y 5AG.

Printed in Great Britain at the University Press, Cambridge

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Page 4: Back Matter

CONTENTS

SERIES A VOLUME 365

NUMBER 1720 19 FEBRUARY 1979

Address of the President at the Anniversary Meeting, 30 November 1978. page v By Lord Todd, O.M.

High mode number stability of an axisymmetric toroidal plasma. By J. W. Connor, R. J. Hastie and J. B. Taylor, F.R.S. 1

The Large Numbers hypothesis and the Einstein theory of gravitation. By P. A. M. Dirac, O.M., F.R.S. 19

The ultimate shear stress of fluids at high pressures measured by a modified impact microviscometer. By G. R. Paul and A. Cameron 31

On transient relativistic thermodynamics and kinetic theory. II. By W. Israel and J. M. Stewart 43

The diffusion of long-chain molecules through bulk polyethylene. By J. Klein and B. J. Briscoe 53

Optical study of the secondary absorption edge in type Ia diamonds. By G. Davies and Maria H. Nazare 75

Light caustics from rippling water. By C. Upstill. [Plates 1 and 2] 95 The spontaneous appearance of a singularity in the shape of an evolving vortex

sheet. By D. W. Moore 105 Viscoelastic relaxation of cyclic displacements on the San Andreas Fault.

By D. A. Spence and D. L. Turcotte 121

NUMBER 1721 5 MARCOH 1979

Blackett Memorial Lecture, 1978. Fundamental research in India in the area of the physical sciences. By B. V. Sreekantan. [Plates 1-4] 145

On thermal effects in the theory of shells. By A. E. Green, F.R.S., and P. M. Naghdi 161

Centrifugal instabilities of circumferential flows in finite cylinders: linear theory. By P. J. Blennerhassett and P. Hall 191

On the added mass of a perforated shell, with application to the generation of aerodynamic sound by a perforated trailing edge. By M. S. Howe 209

Luminescence of N atoms in solid N2 stimulated by low energy electrons. By R. J. Sayer, R. H. Prince and W. W. Duley 235

Single and double excitation spectra involving the 4d subshell of Ag i. By J. P. Connerade and M. A. Baig. [Plates 1 and 2] 253

NUMBER 1722 29 MARCH 1979

Measurements of adsorption for membranes in situ with the use of time-lags and steady state flows. By R. Ash, R. M. Barrer, F.R.S., H. T. Chio and A. V. J. Edge 267

The general structure of integrable evolution equations. By A. C. Newell 283 Mass transfer into boundary layers for power law fluids.

By A. Nachman and S. Taliaferro 313

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Page 5: Back Matter

iV Contents Theory of laser-induced optical activity. By T. Thirunamachandran 327 A note on luffing in sails. By H. M. Irvine 345 Low -frequency acoustic thermometry in the range 4.2-20 K with implications

for the value of the gas constant. By A. R. Colelough 349

Some exact results for the Ashkin-Teller model. By H. N. V. Temperley and Susan E. Ashley 371

A technique for generating solutions of Einstein's equation. By B. C. Xanthopoulos 381

An investigation of the valence shell electronic structure of alkaline earth halides by using ab initio s.c.f. calculations and photoelectron spectroscopy. By E. P. F. Lee and A. W. Potts 395

The identification of low energy K and Ca+ autoionizing levels observed in electron impact experiments. By M. WV. D. Mansfield and T. W. Ottley 413

NUMBER 1723 27 APRIL 1979

The gravitational perturbations of the Kerr black hole. III. Further amplifi- cations. By S. Chandrasekhar, F.R.S. 425

On the equations governing the perturbations of the Reissner-Nordstr6m black hole. By S. Chandrasekhar, F.R.S. 453

New variational-Lagrangian thermodynamics of viscous fluid mixtures with thermomolecular diffusion. By M. A. Biot 467

Semiconductor models for first and second order non-equilibrium phase transi- tions. By E. Sch6ll and P. T. Landsberg 495

Formal conditions for non-equilibrium phase transitions in semiconductors. By E. Sch6ll 511

The stability of metallic phases and structures: phases with the AlB2 and related structures. By W. B. Pearson 523

Elastohydrodynamic lubrication at high pressures. II. Non-Newtonian behaviour. By W. Hirst and A. J. Moore 537

Optical isotope shifts and hyperfine structure in A553.5 nm of barium. By P. E. G. Baird, R. J. Brambley, K. Burnett, D. N. Stacey, D. M. Warrington and G. K. Woodgate 567

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Page 6: Back Matter

THE NORTHERN

GREAT BARRIER REEF

A Discussion held on 28 and 29 January 1976

Organized by D. R. Stoddart and Sir Maurice Yonge, F.R.S.

The Great Barrier Reef of Australia is the longest and one of the most diverse barrier reefs in the World. Reconnoitred by James Cook in 1770 and the subject of now classic studies by the Great Barrier Reef Expedition of 1928-29, it yet remains one of the least known of all coral reef areas.

There have been great advances in both concepts and methods applied to reef study since 1950. The Royal Society and Universities of Queensland Expedition to the northern Great Barrier Reef in 1973 was organized to bring these concepts and methods to bear on some of the more remote and least studied stretches of the Reef. Comprehensive investigations with four chartered vessels and support from the Royal Australian Navy concentrated on the fundamental problem of the evolution of the present surface features of the reefs in the period since the sea reached its present level following the last glaciation. Methods used included boomer, sparker and sidescan sonar techniques, shallow drilling, analysis of surface sediments, petrographic studies of limestones, and detailed morphological analysis of islands and other surface features.

Radiocarbon dating formed a major component of the study. Dates are reported in detail, together with an account of the rigorous procedures used to check all samples before dating. Perhaps no other reef area in the World has such a dense network of reliable dates as the study areas of the northern Great Barrier Reef.

The picture revealed of the development of the reefs in the last six thousand years is one of great complexity. It is shown that surface reef features are related to sea level in highly variable ways, at least in macro-tidal areas, and in consequence it is not possible to reconstruct sea level curves simply by plotting age and elevation of radiometrically dated samples without detailed knowledge of the relation of the samples to sea level at the times of their formation. By implication, and in the light of these findings, most previous sea level curves will need to be critically reassessed. The Expedition has further shown that reef development results from an intricate network of positive and negative feedback linkages in carbonate production and sedimentation, in a manner very different to the unilinear evolution often postulated.

This is the first detailed modern investigation of the greatest reef in the World; its results have implications for the study of coral reefs everywhere, as well as suggesting important new research areas on the Great Barrier Reef itself.

364 pages plus 4 indexes 31 plates cloth bound

ISBN 0 85403102 2

First published in Philosophical Transactions of the Royal Society

Price including packing and postage

?32.00 (U.K. addresses) ?33.00 (Overseas addresses)

The Royal Society 6 Carlton House Terrace, London, SW1 Y 5AG

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Page 7: Back Matter

PROCEEDINGS OF THE ROYAL SOCIETY, SERIES A

Number 1723 27 April 1979 Volume 365

CONTENTS

CHANDRASERHAR, S. pages 425-451 The gravitational perturbations of the Kerr black hole. III. Further amplifications

CHANDRASEKHAR, S. 453-465 On the equations governing the perturbations of the Reissner-Nordstrdm black hole

BIOT, M. A. 467-494 New variational-Lagrangian thermodynamics of viscous fluid mixtures with thermomolecular diffusion

SCHdLL, E. & LANDSBERG, P. T. 495-510 Semiconductor models for first and second order non-equilibrium phase transitions

SCH6LL, E. a511-521 Formal conditions for non-equilibrium phase transitions in semi- conductors

PEARSON, W. B. 523-535 The stability of metallic phases and structures: phases with the AlB2 and related structures

HIRST, W. & MOORE, A. J. 537-565 Elastohydrodynamic lubrication at high pressures. II. Non-Newtonian behaviour

CORRIGENDUM: Proc. R. Soc. Lond. A 360, 403-425, (1978) 565 (HIRST, W. & MOORE, A. J.)

BAIRD, P. E. G., BRAMBLEY, R. J., BURNETT, K., STACEY, D. N., WARRINGTON, D. M. & WOODGATE, G. K. 567-582 Optical isotope shifts and hyperfine structure in A 553.5 nm of barium

INDEXES 583-587

Instructions to Authors pages i-iv * * *

VOLUME TITLE PAGE AND CONTENTS

Pulished by the Royal Society, 6 Carlton House Terrace, London SW1 Y 5AG

Printed in Great Britain for the Royal Society at the University Press, Cambridge

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