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 .
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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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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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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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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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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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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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