The Second Law of Steady State Thermodynamics for Nonequilibrium Quantum Dynamics

Details The Second Law of Steady State Thermodynamics for Nonequilibrium Quantum Dynamics The Second Law of Steady State Thermodynamics for Nonequilibrium Quantum Dynamics

2001-08-27

arxiv.org/abs/cond-mat/0108421v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, revtex4; corrected typo

Scientific paper

The second law of ordinary thermodynamics and the second law of steady state thermodynamics, as proposed by Oono and Paniconi, are investigated from the microscopic point of view for the open quantum system. Based on the H-theorem of Lindblad, we show that both second laws are consistent with the quantum dynamics generated by the completely positive map. In addition, microscopic expressions of entropy production and ``housekeeping heat'' are obtained for some classes of dynamical quantum systems.

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