DYNAMICAL SYSTEMSAND IRREVERSIBILITY :PROCEEDINGS OF THE

XXI SOLVAY CONFERENC EON PHYSICS

ADVANCES IN CHEMICAL PHYSIC SVOLUME 12 2

IOANNIS ANTONIOU

ADMINISTRATIVE BOARD OF THE INTERNATIONAL SOLVA Y

INSTITUTES FOR PHYSICS AND CHEMISTRY

Vi i

SCIENTIFIC COMMITTEE FOR PHYSICS OF THE INTERNATIONA L

SOLVAY INSTITUTES FOR PHYSICS AND CHEMISTRY

ix

THE SOLVAY CONFERENCES ON PHYSICS

X i

PREFACE

XV

OPENING SPEECH BY J . SOLVAY

Xvi i

INTRODUCTORY REMARKS BY ILYA PRIGOGINE

Xx i

PART ONE

DISCRETE MAP S

NON-MARKOVIAN EFFECTS IN THE STANDARD MAP

3By R. Balescu

THERMODYNAMICS OF A SIMPLE HAMILTONIAN CHAOTIC SYSTEM

2 1

By Hiroshi H. Hasegaw a

HARMONIC ANALYSIS OF UNSTABLE SYSTEMS

3 3By I. Antoniou and Z. Suchaneck i

PROPERTIES OF PERMANENT AND TRANSIENT CHAOS IN CRITICAL STATES 49By P. Szepfalusy

FROM COUPLED DYNAMICAL SYSTEMS TO BIOLOGICAL IRREVERSIBILITY

5 3

By Kunihiko Kaneko

PART TW O

TRANSPORT AND DIFFUSIO N

IRREVERSIBILITY IN REVERSIBLE MULTIBAKER MAPS -TRANSPORT

AND FRACTAL DISTRIBUTIONS

77

By S . Tasak i

DIFFUSION AND THE POINCAR-BIRKHOFF MAPPIN G

OF CHAOTIC SYSTEMS

109

By Pierre Gaspard

TRANSPORT THEORY FOR COLLECTIVE MODES AND GREEN-KUBO

FORMALISM FOR MODERATELY DENSE GASES

129

By T. Petrosky

NEW KINETIC LAWS OF CLUSTER FORMATION IN N-BOD Y

HAMILTONIAN SYSTEMS

16 1

By Y. Aizawa

PART THREE

QUANTUM THEORY, MEASUREMENT, AND DECOHERENC E

QUANTUM PHENOMENA OF SINGLE ATOMS

16 7

By H. Walther

QUANTUM SUPERPOSITIONS AND DECOHERENCE : How TO DETECT

INTERFERENCE OF MACROSCOPICALLY DISTINCT OPTICAL STATES

199

By F. T. Arecchi and A. Montin a

QUANTUM DECOHERENCE AND THE GLAUBER DYNAMICS FROM TH E

STOCHASTIC LIMIT

21 5

By L. Accardi and S. V. Kozyre v

CP VIOLATION AS ANTIEIGENVECTOR-BREAKING

239

By K. Gustafson

PART FOUR

EXTENSION OF QUANTUM THEORY AND FIELD THEORY

DYNAMICS OF CORRELATIONS . A FORMALISM FOR BOTH INTEGRABLE

AND NONINTEGRABLE DYNAMICAL SYSTEMS

26 1

By I. Prigogine

GENERALIZED QUANTUM FIELD THEORY

277

By E. C. G. Sudarshan and Luis J. Boya

AGE AND AGE FLUCTUATIONS IN AN UNSTABLE QUANTUM SYSTEM

287By G. Ordonez, T. Petrosky, and E. Karpo v

MICROPHYSICAL IRREVERSIBILITY AND TIME ASYMMETRIC QUANTUM

MECHANICS

MIBy A. Bohm

POSSIBLE ORIGINS OF QUANTUM FLUCTUATION GIVEN B Y

ALTERNATIVE QUANTIZATION RULES

32 1

By Mikio Namiki

AUTHOR INDEX

33 1

SUBJECT INDEX

339