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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.
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SPECIAL VOLUME INMEMORY OF ILYA
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.
-
Copyright # 2007 by John Wiley & Sons, Inc. All rights
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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
Normale Supérieure de Lyon, 69364 Lyon Cedex 07, France
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
Normale Supérieure de Lyon, 6934 Lyon Cedex 07, France
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
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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
Normale Supérieure de Lyon, 6934 Lyon Cedex 07, France
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
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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
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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
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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
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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
1