Stephan Mintz - Böcker

leagues and, in many cases, students, of Professor Onsager. Professor Onsager, himself, has contributed a paper on Illife in early times" to the volume. Among the topics discussed are some interesting applications of low temperature experimental techniques to cardiology and astrophysics. We would like to express our particular appreciation to Mrs. Helga Billings and Miss Sara Lesser for their excellent typing of these Proceedings and to Mrs. Jacquelyn Zagursky, as well as to Mrs. Billings and Miss Lesser for their invaluable assistance with the details of the conference and the publication of these Proceedings. The Editors CONTENTS Section One BIOLOGY Life in the Early Days Lars Onsager. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 The Fluctuating Enzyme Giorgio Careri. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Diffusion Control in Biochemical Reactions Manfred Eigen. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Phase Transitions of Phospholipids Julian Sturtevant. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Theory and Density Measurements of the Lipid Bilayer Phase Transition John F. Nagle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 Stability of Helical Nucleic Acids Neville R. Kallenbach. . . . . . . . . . . . . . . . . . . . . . . . . . . 95 Thermodynamic Perspectives and the Origin of Life Sidney W. Fox. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 Section Two STATISTICAL MECHANICS High Frequency Dielectric Response in Dipolar Systems Roberto Lobo, John E. Robinson, Sergio Rodriguez. 143 ix x CONTENTS Exact Derivation of the Onsager Limiting Law Thomas J. Murphy 157 The Effect of Wall Charge on the Capillary Rise of Electrolytes Lars Onsager, Edmund Drauglis 167 Density of States of Topologically Disordered Amorphous Semiconductors Jill C. Bonner, J. F. Nagle 201 Irreversibility Willis E. Lamb, Jr. 213 Surface Specific Heat of Crystals.

This volume includes the papers presented during the high energy session of the first Orbis Scientiae held by the Center for Theo­ retical Studies, University of Miami. The Orbis met from January 7th to 12th, 1974 for the purpose of allowing scientists in various dis­ ciplines to acquaint each other with frontier problems of their respective disciplines. This Orbis Scientiae was the first of a new series of annual gatherings which have replaced the Coral Gables Conferences. These new meetings will include, in addition to physics, the main­ stay of the Coral Gables Conferences, other sciences and will allow scientists in the various disciplines represented to exchange views with each other as well as among them­ selves. The high energy sessions of the Orbis were devoted primarily to fundamental theories which attempt to unify a number of interactions in physics such as the electromagnetic and gravi­ tational forces, the electromagnetic and weak forces, or indeed all of the known interactions. Papers were also invited on other topics of cur­ rent interest in high energy physics and astro­ physics and they form part of this volume. v PREFACE This volume is not subdivided but the first half is devoted to fundamental theories and the second half to other subjects of current interest. The last paper, on stellar evolution, was presented at the Sixth Annual J. Robert Oppenheimer Memorial Prize Ceremonies by the recipient, Professor Edwin E. Salpeter of Cornell University.

This year, Orbis Scientiae 1976, dedicated to the Bicentennial of the United States of America, was devoted entirely to recent developments in high energy These proceedings contain nearly all of the physics. papers presented at Orbis, held at the Center for Theoretical Studies, University of Miami, during January 19-22, 1976. The organization of Orbis this year was due mainly to the moderators of the sessions, principally Sydney Meshkov, Murray Gell-Mann, Yoichiro Nambu, Glennys Farrar, Fred Zachariasen and Behram Kursunoglu, who was also chairman of the conference. The coherence of the various sessions is due to their efforts, and special thanks are due to Sydney Meshkov who was responsible for coor­ dinating many.of the efforts of the moderators and for including essentially all of the frontier developments in high energy physics. Because of the number of papers and their integrated length, it has been necessary to divide these proceedings into two volumes. An effort has been made to divide the material in the two volumes into fundamental questions (including the appearance of magnetic charge in particle physics) and recent high energy results and attendant phenomenology. These volumes were prepared by Mrs. Helga Billings, Mrs. Elva Brady and Ms. Yvonne Leber, and their dedication and skill are gratefully acknowledged. Their efforts v PREFACE during Orbis were supplemented by those of Mrs. Jacquelyn Zagursky, with our appreciation. The ~hoto­ graphs were taken by Ms. Shirley Busch.

This year, Orbis Scientiae 1976, dedicated to the Bicentennial of the United States of America, was devoted entirely to recent developments in high energy physics. These proceedings contain nearly all of the papers presented at Orbis, held at the Center for Theoretical Studies, University of Miami, during January 19-22, 1976. The organization of Orbis this year was due mainly to the moderators of the sessions, principally Sydney Meshkov, Murray Gell-Mann, Yoichiro Nambu, Glennys Farrar, Fred Zachariasen and Behram Kursunoglu, who was also chairman of the conference. The coherence of the various sessions is due to their efforts, and special thanks are due to Sydney Meshkov who was responsible for coor­ dinating many of the efforts of the moderators and for including essentially all of the frontier developments in high energy physics. Because of the number of papers and their integrated length, it has been necessary to divide these proceedings into two volumes. An effort has been made to divide the material in the two volumes into fundamental questions (including the appearance of magnetic charge in particle physics) and recent high energy results and attendant ppenomenology. These volumes were prepared by Mrs. Helga Billings, Mrs. Elva Brady and Ms. Yvonne Leber, and their dedication and skill are gratefully acknowledged. Their efforts v PREFACE during Orbis were supplemented by those of Mrs. Jacquelyn Zagursky, with our appreciation. The photo­ graphs were taken by Ms. Shirley Busch.

In accordance with the established tradition of these annual meetings under the aegis of Orbis Scientiae we have, this year, included the very important field of "The Significance of Non­ linearity in the Natural Sciences." We are pleased to join many scientists in recognizing the nonlinearity arising from the under­ lying interaction of all natural phenomena. It is tempting to say that in the long run things are nonlinear and that we shall have to design new techniques and methods to solve nonlinear equations. This year's Orbis Scientiae did include four sessions on nonlinear equations pertaining to elementary particle physics, molecular physics, fluid dynamics, and also to biology. Our Center intends to pursue the inclusions of these topics in its future Orbis Scientiae. Appreciation is extended to Mrs. Helga S. Billings, Mrs. Elva Brady, and Ms. Yvonne L. Leber for their skillful typing of the proceedings, which they have performed with great enthusiasm and dedication. The Editors v CONTENTS Some Recent Developments on Solitons in Two-Dimensional Field Theories 1 Andre Neveu Path Integral Quantization of Solitons. . . . . . . . . . 17 A. Jevicki Nontopological Solitons 39 R. Friedberg Vacuum Bubble Instantons 57 P. H. Frampton Nonlinear Deep Water Waves: A Physical Testing Ground for Solitons and Recurrence . . . . . 67 Henry C. Yuen and Bruce M. Lake Solitons as Particles, and the Effects of Perturbations . . . . 97 D. J. Kaup The Formulation of Variational Principles by Means of Clebsch Potentials .

These proceedings contain the papers presented during the 14th annual High Energy Physics meeting convened under the aegis of Orbis Scientiae 1977. The title "Deeper Pathways in High Energy Physics" was adopted to indicate either further penetration into the nature of the structure of the elementary particle or the deepening of the continuously trodden path that gets gradually deeper and deeper, evolving into a trench. In the latter instance, the visibility of the real nature of elementary particles may be getting dimmer and dimmer. It is hoped that some of the papers in these proceedings do, indeed, contain further revelations on the "deeper" nature of elementary particles. We must not be overly charmed with "charm" even if it may fit the data of the current generation of e+ and e­ experiments. It would be much less than prophetic to say that a complete and totally satisfactory theory com~ising the entire physical reality is yet to be discovered, and there is presumably no paper of that kind in these proceedings. Despite this short­ coming, the editors do not wish to hide their admiration for the caliber of the papers contributed by the participants of Orbis Scientiae 1977. Appreciation is extended to Mrs. Helga S. Billings, Mrs. Elva Brady, and Ms. Yvonne L. Leber for their skillful typing of the proceedings, which they have performed with great enthusiasm and dedication. Orbis Scientiae 1977 received some support from the Energy Research and Development Administration.