Dynamics of Dissipation - Lecture Notes in Physics 597 (Hardback)
  • Dynamics of Dissipation - Lecture Notes in Physics 597 (Hardback)
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Dynamics of Dissipation - Lecture Notes in Physics 597 (Hardback)

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Hardback 516 Pages / Published: 07/11/2002
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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 -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. Ku's, 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...8 3 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. Pich'or,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 SolvingSchrodinger'sEquationforanOpenSystem andItsEnvironment W. T. Strunz...377 ChapterV DynamicsofLargeSystems ThermodynamicBehaviorofLargeDynamicalSystems -Quantum1dConductorandClassicalMultibakerMap- S. Tasaki...395 CoherentandDissipativeTransport inAperiodicSolids:AnOverview J. Bellissard...

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540441113
Number of pages: 516
Weight: 2030 g
Dimensions: 235 x 155 x 28 mm
Edition: 2002 ed.


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"The value of this volume is that it helps give students and other researchers a view of `the big picture' in nonequilibrium statistical mechanics." (The Physicist, 40/5, 2003)

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