special volume in memory of ilya prigogine · prigogine advances in chemical physics volume 135...

SPECIAL VOLUME INMEMORY OF ILYA

PRIGOGINE

ADVANCES IN CHEMICAL PHYSICS

VOLUME 135

Edited by

STUART A. RICE

Department of Chemistry

and

The James Franck Institute

The University of Chicago

Chicago, Illinois

AN INTERSCIENCE PUBLICATION

JOHN WILEY & SONS, INC.

Innodata9780470121900.jpg


PRIGOGINE


VOLUME 135


PRIGOGINE


VOLUME 135

Edited by

STUART A. RICE

Department of Chemistry

and

The James Franck Institute

The University of Chicago

Chicago, Illinois

AN INTERSCIENCE PUBLICATION

JOHN WILEY & SONS, INC.

Copyright # 2007 by John Wiley & Sons, Inc. All rights reserved.

Published by John Wiley & Sons, Inc., Hoboken, New Jersey.

Published simultaneously in Canada.

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CONTRIBUTORS TO VOLUME 135

A. ARNEODO, Laboratoire Joliot-Curie et Laboratoire de Physiques, Ecole

Normale Supérieure de Lyon, 69364 Lyon Cedex 07, France

B. AUDIT, Laboratoire Joliet-Curie et Laboratoire de Physique, CNRS, Ecole


RADU BALESCU*, Association Euratom—Belgian State for Fusion, Université

Libre de Bruxelles, B-1050 Brussels, Belgium

E. B. BRODIE OF BRODIE, Laboratoire Joliet-Curie et Laboratoire de Physique,

CNRS, Ecole Normale Supérieure de Lyon, 6934 Lyon Cedex 07, France

Y. D’AUBENTON-CARAFA, Centre de Génétique Moléculaire, CNRS, 91198 Gif-

sur-Yvette, France

PIERRE GASPARD, Center for Nonlinear Phenomena and Complex Systems,

Université Libre de Bruxelles, B-1050 Brussels, Belgium

ALBERT GOLDBETER, Service de Chimie, Physique, et Biologie Théorique, Faculté

des Sciences, Université Libre de Bruxelles, B-1050 Bruxelles, Belgium

S. NICOLAY, Laboratoire Joliet-Curie et Laboratoire de Physique, CNRS, Ecole


GONZOLO ORDONEZ, Center for Studies in Statistical Mechanics and Complex

Systems, The University of Texas, Austin, Texas 78712, USA; and

International Solvay Institutes for Physics and Chemistry, CP231, B-1050

Brussels, Belgium. Present Address: Butler University, Indianapolis,

Indiana 46208, USA

TOMIO PETROSKY, Center for Studies in Statistical Mechanics and Complex

Systems, The University of Texas, Austin, Texas 78712 USA; and

International Solvay Institutes for Physics and Chemistry, CP231, B-1050

Brussels, Belgium

YVES POMEAU, Laboratoire de Physique Statistique de L’Ecole Normale

Supérieure, 75231 Cedex 05, France. Present Address: Department of

Mathematics, The University of Arizona, Tucson, Arizona 85721, USA

ILYA PRIGOGINEy, Center for Studies in Statistical Mechanics and ComplexSystems, The University of Texas, Austin, Texas 78712, USA; and

*Deceased.yDeceased.

v

International solvay Institutes for Physics and Chemistry, CP231, B-1050

Brussels, Belgium

JOHN ROSS, Stanford University, Department of Chemistry, Stanford, California

94305, USA

P. ST. JEAN, Laboratoire Joliet-Curie et Laboratoire de Physique, CNRS, Ecole


C. THERMES, Centre de Génétique Moleculaire, CNRS, 91198 Gif-sur-Yvette,

France

M. TOUCHON, Centre de Génétique Moleculaire, CNRS, 91198 Gif-sur-Yvette,

France

C. VAILLANT, Laboratoire Statistique et Génome, 91000 Evry, France

CHRISTIAN VAN DEN BROECK, Hasselt University, Dept.WN1, B-3590 Diepenbeek,

Belgium

MARCEL VLAD, Department of Chemistry, Stanford University, Stanford,

California 94305, USA; and Institute of Mathematical Statistics and

Applied Mathematics, Casa Academiei Romane, 76100

vi contributors to volume 135

INTRODUCTION

Few of us can any longer keep up with the flood of scientific literature, evenin specialized subfields. Any attempt to do more and be broadly educatedwith respect to a large domain of science has the appearance of tilting atwindmills. Yet the synthesis of ideas drawn from different subjects into new,powerful, general concepts is as valuable as ever, and the desire to remaineducated persists in all scientists. This series, Advances in ChemicalPhysics, is devoted to helping the reader obtain general information about awide variety of topics in chemical physics, a field that we interpret verybroadly. Our intent is to have experts present comprehensive analyses ofsubjects of interest and to encourage the expression of individual points ofview. We hope that this approach to the presentation of an overview of asubject will both stimulate new research and serve as a personalized learningtext for beginners in a field.

STUART A. RICE

vii

ACKNOWLEDGMENTS

The Symposium In Memoriam Ilya Prigogine on‘‘Time, Irreversibility andSelf-Organization’’ was held by the International Solvay Institutes forPhysics and Chemistry at the University of Brussels on December 2–3,2004.This Symposium was made possible by the sponsorships of the European

Commission, of the Fonds National de la Recherche Scientifique (FNRS), ofthe Nationale Fonds voor Wetenschappelijk Onderzoek (NFWO), of theBelgian National Lottery, of the ‘‘Communauté Franaise de Belgique,’’ andof the ‘‘Hotel Métropole,’’ which are gratefully acknowledged.

PROF. RENE LEFEVERUniversité Libre de Bruxelles Belgium

ix

CONTENTS

ILYA PRIGOGINE: HIS LIFE, HIS WORK 1

By Radu Balescu

TIME ASYMMETRY IN NONEQUILIBRIUM STATISTICAL MECHANICS 83

By Pierre Gaspard

QUANTUM AND CLASSICAL DYNAMICS OF NONINTEGRABLE SYSTEMS 135

By Ilya Prigogine, Tomio Petrosky, and Gonzolo Ordonez

STATISTICAL MECHANICS OF A GRAVITATIONAL PLASMA 153

By Yves Pomeau

INVERSE PROBLEMS FOR REACTION-DIFFUSION SYSTEMS

WITH APPLICATION TO GEOGRAPHICAL POPULATION GENETICS 173

By Marcel O. Vlad and John Ross

CARNOT EFFICIENCY REVISITED 189

By C. Van den Broeck

DNA IN CHROMATIN: FROM GENOME-WIDE SEQUENCE ANALYSIS

TO THE MODELING OF REPLICATION IN MAMMALS 203

By A. Arneodo, B. Audit, E. B. Brodie of Brodie, S. Nicolay,

P. St. Jean, Y. d’Aubenton-Carafa, C. Thermes, M. Touchon,

and C. Vaillant

BIOLOGICAL RHYTHMS AS TEMPORAL DISSIPATIVE STRUCTURES 253

By Albert Goldbeter

Author Index 297

Subject Index 311

xi

ILYA PRIGOGINE: HIS LIFE, HIS WORK*

RADU BALESCU{

Association Euratom—Belgian State for Fusion,

Université Libre de Bruxelles, B-1050 Brussels, Belgium

CONTENTS

I. Ilya Prigogine’s Life and Work

A. Introduction

B. Short Biography

C. Macroscopic Chemistry and Physics

D. Microscopic Physics

E. Cosmology

F. Philosophical Vision

G. Appendix

1. Statistical Mechanics: First Version

2. Projection Operators

3. The Misra–Goldstein–Prigogine–Courbage (MPC, MGC) Formalism

4. The Prigogine–Petrosky Formalism

II. Systematic Bibliography

A. Books

1. Scientific Monographs

2. General Books

B. Articles

1. Equilibrium Thermodynamics

2. Theory of Solutions

3. Nonequilibrium Thermodynamics: Linear Regime

4. Nonlinear Thermodynamics and Complex Systems

5. Vehicular Traffic

6. Equilibrium Statistical Mechanics

7. Mécanique Statistique de Non-équilibre, Systèmes Dynamiques

8. Gravitation and Cosmology

9. Varia

10. Science Policy

11. General Papers, Philosophy

Special Volume in Memory of Ilya Prigogine: Advances in Chemical Physics, Volume 135,edited by Stuart A. RiceCopyright # 2007 John Wiley & Sons, Inc.

*This chapter was originally published in the French language as ‘‘Ilya Prigogine, sa vie, sonoeuvre, Mémoire in-8�, Classe des Sciences, Académie Royale de Belgique, 2006.’’{Deceased, June 1, 2006

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