Synopsis
The present volume contains expanded and substantially reworked records of invitedlecturesdeliveredduringthe38thKarpaczWinterSchoolofTheoretical Physics on Dynamical Semigroups: Dissipation, Chaos, Quanta, which took placeinLadek, Zdr oj, (Poland)intheperiod6 15February2002. Themainpurposeoftheschoolwastocreateaplatformfortheconfrontation ofviewpointsandresearchmethodologiesrepresentedbytwogroupsofexperts actually working in the very same area of theoretical physics. This situation is quite distinct in non-equilibrium statistical physics of open systems, where classicalandquantumaspectsareaddressedseparatelybymeansofverydi?erent andevenincompatibleformaltools. TheschooltopicsselectionbytheLecturersreads: dissipativedynamicsand chaoticbehaviour, modelsofenvironment systemcouplingandmodelsofth- mostats;non-equilibriumstatisticalmechanicsandfarfromequilibriumphen- ena;quantumopensystems, decoherenceandlinkstoquantumchaos;quantum andclassicalapplicationsofMarkovsemigroupsandthevalidityofMarkovian approximations. Theorganizingprincipleforthewholeendeavourwastheissueofthedyn- ics of open systems and more speci?cally thedynamics of dissipation. Since this research area is extremely broad and varied, no single book can cover all importantdevelopments. Therefore, linkswithdynamicalchaoswerechosento representasupplementaryconstraint. Theprogrammeoftheschoolandits?naloutcomeintheformofthepresent volumehasbeenshapedwiththehelpofthescienti?ccommitteecomprising: R. Alicki, Ph. Blanchard, J. R. Dorfman, G. Gallavotti, P. Gaspard, I. Guarneri, ? F. Haake, M. Kus, A. Lasota, B. Zegarlinski and K. Zyczkowski. Some of the committeememberstookchargeoflecturingtoo. Weconveyourthankstoall ofthem. Wewouldliketoexpresswordsofgratitudetomembersofthelocalorgan- ingcommittee, W. Ceg laandP. Lugiewicz, fortheirhelp. Specialthanksmust beextendedtoMrsAnnaJadczykforherhelpatvariousstagesoftheschool organizationandthecompetenteditorialassistance. Theschoolwas?nanciallysupportedbytheUniversityofWroc law, Univ- sityofZielonaG ora, PolishMinistryofEducation, PolishAcademyofSciences, FoundationfortheKarpaczWinterSchoolofTheoreticalPhysicsandthe- nationfromtheDrWilhelmHeinrichHeraeusundElseHeraeusStiftung. Wrocla wandZielonaG ora, Poland PiotrGarbaczewski June2002 RobertOlkiewicz TableofContents Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 ChapterI NonequilibriumDynamics SomeRecentAdvancesinClassicalStatisticalMechanics E. G. D. Cohen. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 DeterministicThermostatsandFluctuationRelations L. Rondoni. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 WhatIstheMicroscopicResponseofaSystem DrivenFarFromEquilibrium? C. Jarzynski. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Non-equilibriumStatisticalMechanics ofClassicalandQuantumSystems D. Kusnezov, E. Lutz, K. Aoki. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 ChapterII DynamicsofRelaxationandChaoticBehaviour DynamicalTheoryofRelaxation inClassicalandQuantumSystems P. Gaspard. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 RelaxationandNoiseinChaoticSystems S. Fishman, S. Rahav. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 FractalStructuresinthePhaseSpace ofSimpleChaoticSystemswithTransport J. R. Dorfman. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 ChapterIII DynamicalSemigroups MarkovSemigroupsandTheirApplications R. Rudnicki, K. Pichor, M. Tyran-Kaminska . . . . . . . . . . . . . . . . . . . . . . . . . 215 VIII TableofContents InvitationtoQuantumDynamicalSemigroups R. Alicki. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 FiniteDissipativeQuantumSystems M. Fannes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265 CompletePositivityinDissipativeQuantumDynamics F. Benatti, R. Floreanini, R. Romano. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283 QuantumStochasticDynamicalSemigroup W. A. Majewski . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305 ChapterIV Driving, DissipationandControlinQuantumSystems DrivenChaoticMesoscopicSystems, DissipationandDecoherence D. Cohen. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 QuantumStateControlinCavityQED T. WellensandA. Buchleitner. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351 SolvingSchr]odinger sEquationforanOpenSystem andItsEnvironment W. T. Strunz. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 377 ChapterV DynamicsofLargeSystems ThermodynamicBehaviorofLargeDynamicalSystems Quantum1dConductorandClassicalMultibakerMap S. Tasaki. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 395 CoherentandDissipativeTransport inAperiodicSolids: AnOverview J. Bellissard. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ."
Présentation de l'éditeur
This collection of lectures treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical mechanics, environment-system coupling (decoherence) and applications of Markov semi-groups to name but a few. The book addresses not only experienced researchers in the field but also nonspecialists from related areas of research, postgraduate students wishing to enter the field and lecturers searching for advanced textbook material.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
