DYNAMICAL SYSTEMS AND IRREVERSIBILITY ASPECIALVOLUMEOFADVANCESINCHEMICALPHYSICS VOLUME122 EDITORIAL BOARD BRUCE J. BERNE, Department of Chemistry, Columbia University, New York, New York, U.S.A. KURT BINDER, Institut fu¨r Physik, Johannes Gutenberg-Universita¨t Mainz, Mainz, Germany A. WELFORD CASTLEMAN, JR., Department of Chemistry, The Pennsylvania State University, University Park, Pennsylvania, U.S.A. DAVID CHANDLER, Department of Chemistry, University of California, Berkeley, California, U.S.A. M. S. CHILD, Department of Theoretical Chemistry, University of Oxford, Oxford, U.K. WILLIAM T. COFFEY, Department of Microelectronics and Electrical Engineering, Trinity College, University of Dublin, Dublin, Ireland F. FLEMING CRIM, Department of Chemistry, University of Wisconsin, Madison, Wisconsin, U.S.A. ERNEST R. DAVIDSON, Department of Chemistry, Indiana University, Bloomington, Indiana, U.S.A. GRAHAM R. FLEMING, Department of Chemistry, The University of California, Berkeley, California, U.S.A. KARL F. FREED, The James Franck Institute, The University of Chicago, Chicago, Illinois, U.S.A. PIERRE GASPARD, Center for Nonlinear Phenomena and Complex Systems, Universite´ Libre de Bruxelles, Brussels, Belgium ERIC J. HELLER, Department of Chemistry, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts, U.S.A. ROBINM.HOCHSTRASSER, DepartmentofChemistry,TheUniversityofPennsylvania, Philadelphia, Pennsylvania, U.S.A. R.KOSLOFF, TheFritzHaberResearchCenterforMolecularDynamicsandDepart- ment of Physical Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel RUDOLPHA.MARCUS, DepartmentofChemistry,CaliforniaInstituteofTechnology, Pasadena, California, U.S.A. G. NICOLIS, Center for Nonlinear Phenomena and Complex Systems, Universite´ Libre de Bruxelles, Brussels, Belgium THOMAS P. RUSSELL, Department of Polymer Science, University of Massachusetts, Amherst, Massachusetts DONALD G. TRUHLAR, Department of Chemistry, University of Minnesota, Minneapolis, Minnesota, U.S.A. JOHN D. WEEKS, Institute for Physical Science and Technology and Department of Chemistry, University of Maryland, College Park, Maryland, U.S.A. PETERG.WOLYNES, DepartmentofChemistry,UniversityofCalifornia,SanDiego, California, U.S.A. DYNAMICAL SYSTEMS AND IRREVERSIBILITY: PROCEEDINGS OF THE XXI SOLVAY CONFERENCE ON PHYSICS ADVANCES IN CHEMICAL PHYSICS VOLUME 122 Edited by IOANNIS ANTONIOU InternationalSolvayInstitutesforPhysicsandChemistry,Brussels,Belgium Series Editors I. PRIGOGINE STUARTA. RICE CenterforStudiesinStatisticalMechanics DepartmentofChemistry andComplexSystems and TheUniversityofTexas TheJamesFranckInstitute Austin,Texas TheUniversityofChicago and Chicago,Illinois InternationalSolvayInstitutes Universite´ LibredeBruxelles Brussels,Belgium ANINTERSCIENCEPUBLICATION JOHN WILEY & SONS, INC. Thisbookisprintedonacid-freepaper. Copyright#2002byJohnWiley&Sons,Inc.,NewYork.Allrightsreserved. PublishedsimultaneouslyinCanada. Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmittedinany formorbyanymeans,electronic,mechanical,photocopying,recording,scanningorotherwise, exceptaspermittedunderSection107or108ofthe1976UnitedStatesCopyrightAct,without eitherthepriorwrittenpermissionofthePublisher,orauthorizationthroughpaymentofthe appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923,(978)750-8400,fax(978)750-4744.RequeststothePublisherforpermissionshouldbe addressedtothePermissionsDepartment,JohnWiley&Sons,Inc.,605ThirdAvenue,NewYork, NY10158-0012,(212)850-6011,fax(212)850-6008,E-Mail:[email protected]. Fororderingandcustomerservice,call1-800-CALL-WILEY LibraryofCongressCatalogNumber:58-9935 ISBN0-471-22291-7 PrintedintheUnitedStatesofAmerica. 10 9 8 7 6 5 4 3 2 1 CONTRIBUTORS TO VOLUME 122 L. ACCARDI, Centro Vito Volterra, Polymathematics, Facolta di Economia, UniversitadegliStudidiRomaTorVergata,Rome,Italy Y. AIZAWA, Department of Applied Physics, Faculty of Science and Engineer- ing, Waseda University, Tokyo, Japan I. ANTONIOU, International Solvay Institutes for Physics and Chemistry, Free UniversityofBrussels,Brussels,Belgium;andTheoretischeNatuurkunde, Free University of Brussels, Brussels, Belgium F. T. ARECCHI, Department of Physics, University of Florence, Florence, Italy; and National Institute of Applied Optics (INOA), Florence, Italy R. BALESCU, Department of Physical Statistics–Plasma, Free University of Brussels, Brussels, Belgium A. BOHM, Department of Physics, University of Texas, Austin, Texas, U.S.A. LUIS J. BOYA, Center for Particle Physics, Department of Physics, The UniversityofTexas,Austin,Texas,U.S.A.Permanentaddress:Department of Theoretical Physics, Faculty of Science, University of Zaragoza, Zaragoza, Spain PIERRE GASPARD, Center for Nonlinear Phenomena andComplexSystems, Free University of Brussels, Brussels, Belgium KARL GUSTAFSON, Department of Mathematics, University of Colorado, Boulder, Colorado, U.S.A.; and International Solvay Institutes for Physics and Chemistry, University of Brussels, Brussels, Belgium HIROSHI H. HASEGAWA, Department of Mathematical Sciences, Ibaraki University, Mito, Japan; and Center for Statistical Mechanics, University of Texas, Austin, Texas, U.S.A. KUNIHIKO KANEKO, Department of Pure and Applied Sciences, College of Arts and Sciences, University of Tokyo, Tokyo, Japan E. KARPOV, Center for Studies in Statistical Mechanics and Complex Systems, University of Texas, Austin, Texas, U.S.A.; and International Solvay InstitutesforPhysicsandChemistry,FreeUniversityofBrussels,Brussels, Belgium S. V. KOZYREV, Centro Vito Volterra, Polymathematics, Facolta di Economia, Universita degli Studi di Roma Tor Vergata, Rome, Italy v vi contributors to volume 122 MIKIO NAMIKI, Department of Physics, Waseda University, Tokyo, Japan G.ORDONEZ, CenterforStudiesinStatisticalMechanicsandComplexSystems, University of Texas, Austin, Texas, U.S.A.; and International Solvay InstitutesforPhysicsandChemistry,FreeUniversityofBrussels,Brussels, Belgium T.PETROSKY, CenterforStudiesinStatisticalMechanicsandComplexSystems, University of Texas, Austin, Texas, U.S.A.; International Solvay Institutes forPhysicsandChemistry,FreeUniversityofBrussels,Brussels,Belgium; and Theoretical Physics Department, University of Vrije, Brussels, Belgium I.PRIGOGINE, CenterforStudiesinStatisticalMechanicsandComplexSystems, The University of Texas, Austin, Texas, U.S.A.; and International Solvay InstitutesforPhysicsandChemistry,FreeUniversityofBrussels,Brussels, Belgium Z. SUCHANECKI, International Solvay Institutes for Physics and Chemistry, Free University of Brussels, Brussels, Belgium; Theoretische Natuurkunde, Free University of Brussels, Brussels, Belgium; and Institute of Mathe- matics, University of Opole, Opole, Poland E. C. G. SUDARSHAN, Center for Particle Physics, Department of Physics, The University of Texas, Austin, Texas, U.S.A. P. SZE´PFALUSY, Department of Physics of Complex Systems, Eo¨tvo¨s University, Budapest, Hungary; and Research Institute for Solid State Physics and Optics, Budapest, Hungary S. TASAKI, Department of Physics, Nara Women’s University, Nara, Japan;and Institute for Fundamental Chemistry, Kyoto, Japan. Present address: Department of Applied Physics and Advanced Institute for Complex Systems, Waseda University, Tokyo, Japan H. WALTHER, Sektion Physik der Universita¨t Mu¨nchen and Max Planck Institut fu¨r Quantenoptik, Garching, Federal Republic of Germany ADMINISTRATIVE BOARD OF THE INTERNATIONAL SOLVAY INSTITUTES FOR PHYSICS AND CHEMISTRY J. SOLVAY President of the Administrative Board F. BINGEN Vice-President of the Administrative Board I. PRIGOGINE Director of the Solvay Institutes I. ANTONIOU Deputy Director of the Solvay Institutes F. LAMBERT Secretary of the Administrative Board A. BELLEMANS Secretary of the Scientific Committee of Chemistry M. HENNEAUX Secretary of the Scientific Committee of Physics D. JANSSEN A. JAUMOTTE G. NICOLIS J. M. PIRET J. REISSE R. LEFEVER vii SCIENTIFIC COMMITTEE FOR PHYSICS OF THE INTERNATIONAL SOLVAY INSTITUTES FOR PHYSICS AND CHEMISTRY A. ABRAGAM Professeur Honoraire au Colle`ge de France, Paris, France P. W. ANDERSON Department of Physics, Princeton University, Princeton, NJ, U.S.A. F. T. ARECCHI Directeur, Istituto Nazionale de Ottica Applicata, Florence, Italy M. HENNEAUX De´partement de Physique, Universite´ Libre de Bruxelles, Bruxelles, Belgium I. M. KHALATNIKOFF Russian Academy of Sciences, Landau Institute of Theoretical Physics, Moscow, Russia Y. NE’EMAN Sackler Institute for Advanced Study, Tel-Aviv University, Tel Aviv, Israel D. PHILLIPS 35, Addisland Court, Holland Villas Road, London, England R. Z. SAGDEEV East West Place Science Center, University of Maryland, College Park, MD, U.S.A. G. SETTI European Southern Laboratory, Munich, Germany G. t’HOOFT Institute for Theoretical Physics, Utrecht University, Utrecht, Netherlands S. C. TONWAR Tata Institute for Fundamental Research, Bombay, India H. WALTHER Max-Planck-Institute fu¨r Quantenoptik, Mu¨nich, Germany V. F. WEISSKOPF Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, U.S.A. ix