[...]... Ilya Prigogine some 40 years ago in 1958 was nominated Director of the Institutes, he extended their activities from organizing conferences to doing research in a direction that encompasses today’s theme, ‘‘Irreversible Processes and Dynamical Systems. ’’ The Institutes evolved into a mini Institute for Advanced Study centered around complex systems, nonlinear dynamics, and thermodynamics In that role,... Keihanna Interaction Plaza in the Kansaı Science City The topic was Dynamical Systems and Irreversibility The conference has been made possible thanks to the support of the Keihanna Foundation, the Honda Foundation, and the International Solvay Institutes for Physics and Chemistry, founded by E Solvay Ioannis Antoniou xv OPENING SPEECH BY J SOLVAY Ladies and Gentlemen, It is a great pleasure and honor... International Solvay Institutes for Physics and Chemistry ix The Solvay Conferences on Physics xi Preface xv Opening Speech by J Solvay xvii Introductory Remarks by Ilya Prigogine xxi PART ONE DISCRETE MAPS Non-Markovian Effects in the Standard Map By R Balescu 3 Thermodynamics of a Simple Hamiltonian Chaotic System By Hiroshi H Hasegawa 21 Harmonic Analysis of Unstable Systems By I Antoniou and Z Suchanecki... contribution However, in fact his contribution was not even discussed during the meeting Ernest Solvay was not too disappointed He thought he had just to continue to work and appreciated greatly the first conference dealing with radiation theory and quanta He therefore decided to organize the ‘ Solvay Institute for Physics, ’’ which was founded in May 1912 He called it the ‘‘Institut International de Physique’’... ‘‘Order and fluctuations in equilibrium and nonequilibrium statistical mechanics’’ (1982) ‘‘High-energy physics What are the possibilities for extending our understanding of elementary particles and their interactions to much greater energies?’’ (1987) ‘‘Surface science’’ (1991) ‘‘Quantum optics’’ (1998) ‘ Dynamical systems and irreversibility’’ For more information, visit the website of the Solvay Institutes... little later, Ernest Solvay established another foundation ‘‘Institut International de Chimie.’’ The foundations were ultimately united into ‘‘Les Instituts Internationaux de Physique et de Chimie,’’ each having its own Scientific Committee The first Solvay Conference on Physics had set the style for a new type of scientific meetings, in which a select group of the most well informed experts in a given field... Kitahara, Ya Sinai, I Antoniou, L Accardi, H Hegerfeldt, O’Dae Kwon, P Szepfalusy, M Namiki, L Boya, K Kawasaki, H Posch, P Gaspa (Bottom row) R Balescu, Hao Bai-lin, H Mori, H Walther, J Kondo, I Prigogine, J Solvay, L Reichl, N G van Kampen, T Arecchi, S C Tonwar CONTENTS Administrative Board of the International Solvay Institutes for Physics and Chemistry vii Scientific Committee for Physics of the International... attracted by physics, chemistry, physiology, and sociology He was in regular correspondence with outstanding people of his time, such as Nernst and Ostwald This was a period where the first difficulty had appeared in the interpretation of the specific heat by classical physics Ernest Solvay was bold enough to have his own opinion on this subject He thought there were surface tension effects, and he expressed... expressed his view in a meeting with Nernst in 1910 Nernst was a practical man He immediately suggested that Ernest Solvay should organize an international meeting to present his point of view This was the starting point for the Solvay Conferences, the first of which took place in 1911 The Chairman was the famous physicist H A Lorentz At the end of the conference, Lorentz thanked Ernest Solvay not only... Decoherence and the Glauber Dynamics from the Stochastic Limit By L Accardi and S V Kozyrev 215 CP Violation as Antieigenvector-Breaking By K Gustafson 239 PART FOUR EXTENSION OF QUANTUM THEORY AND FIELD THEORY Dynamics of Correlations A Formalism for Both Integrable and Nonintegrable Dynamical Systems By I Prigogine 261 Generalized Quantum Field Theory By E C G Sudarshan and Luis J Boya 277 Age and Age . CONFERENCE ON PHYSICS ADVANCES IN CHEMICAL PHYSICS VOLUME 122 Edited by IOANNIS ANTONIOU International Solvay Institutes for Physics and Chemistry, Brussels, Belgium Series Editors I. PRIGOGINE STUART. Solvay Institutes for Physics and Chemistry vii Scientific Committee for Physics of the International Solvay Institutes for Physics and Chemistry ix The Solvay Conferences on Physics xi Preface. information, visit the website of the Solvay Institutes http://solvayins.ulb.ac.be xi XXIst INTERNATIONAL SOLVAY CONFERENCE IN PHYSICS, KEIHANNA PLAZA, NOVEMBER 1 –5, 1998 DYNAMICAL SYSTEMS AND