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Colloquium: Statistical mechanics and thermodynamics at strong coupling: Quantum and classical

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Title
Colloquium: Statistical mechanics and thermodynamics at strong coupling: Quantum and classical
Author(s)
Peter Talkner; Peter Hanggi
Subject
FLUCTUATION-DISSIPATION RELATIONS, ; BROWNIAN-MOTION, ; NONEQUILIBRIUM THERMODYNAMICS, ; STOCHASTIC-PROCESSES, ; TIME-EVOLUTION, ; THEOREM, ; EQUILIBRIUM, ; SYSTEMS, ; MODEL, ; IRREVERSIBILITY
Publication Date
2020-10
Journal
REVIEWS OF MODERN PHYSICS, v.92, no.4, pp.041002
Publisher
AMER PHYSICAL SOC
Abstract
© 2020 American Physical Society. The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or the reduced phase-space probability density function of a classical open system, the Hamiltonian of mean force not only characterizes the reduced state but also contains full information about the thermodynamics of the considered open system. The resulting thermodynamic potentials all assume the form as the difference of the potentials for the total system and the bare environment in the absence of the system. In contrast to work as a mechanical notion, one faces several problems with the definition of heat, which turns out to be largely ambiguous in the case of strong coupling between system and environment. The general theory of the thermodynamics of open systems, in particular, in view of strong coupling, is reviewed and illustrated it with several examples. The vagueness of heat is discussed in the context of the ambiguities in the definitions of a fluctuating internal energy and other fluctuating thermodynamic potentials
URI
https://pr.ibs.re.kr/handle/8788114/8456
DOI
10.1103/RevModPhys.92.041002
ISSN
0034-6861
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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