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Adiabatic Theorems and Reversible Isothermal Processes

Adiabatic theorems and reversible isothermal processes

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book , Preprint , Other literature type 01 May 2005Embargo end date: 01 Jan 2006 Switzerland Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 72, pages 153-163 (issn: 0377-9017, eissn: 1573-0530,

Authors: Abou-Salem, Walid; Fröhlich, Jürg;

doi: 10.1007/s11005-005-4838-1 , 10.1007/3-540-34273-7_10 , 10.48550/arxiv.math-ph/0601045 , 10.3929/ethz-b-000032432

arXiv: http://arxiv.org/abs/math-ph/0601045

handle: 20.500.11850/32432

Adiabatic Theorems and Reversible Isothermal Processes

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Abstract

Isothermal processes of a finitely extended, driven quantum system in contact with an infinite heat bath are studied from the point of view of quantum statistical mechanics. Notions like heat flux, work and entropy are defined for trajectories of states close to, but distinct from states of joint thermal equilibrium. A theorem characterizing reversible isothermal processes as quasi-static processes (''isothermal theorem'') is described. Corollaries concerning the changes of entropy and free energy in reversible isothermal processes and on the 0th law of thermodynamics are outlined.

Country

Switzerland

Related Organizations

ETH Zurich
Switzerland
RERO - Library Network of Western Switzerland
Switzerland
Institute for Theoretical Physics
Switzerland

Keywords

Foundations of time-dependent statistical mechanics, isothermal processes, Isothermal processes, FOS: Physical sciences, Mathematical Physics (math-ph), heat bath, Adiabatic theorem, Adiabatic theorem; Isothermal processes; Reversible processes, adiabatic theorem, Reversible processes, Quantum dynamics and nonequilibrium statistical mechanics (general), zeroth law, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis

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