Reference : Entropy production in quantum Brownian motion
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Entropy production in quantum Brownian motion
Pucci, Lorenzo [Universita Federico II > Dipartimento di Fisica]
Esposito, Massimiliano mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
Peliti, Luca [Associato Instituto Nazionale di Fisica Nucleare, Sezione di Napoli]
Journal of Statistical Mechanics: Theory and Experiment
Institute of Physics Publishing
Yes (verified by ORBilu)
[en] quantum transport
[en] We investigate how to coherently define entropy production for a process of transient relaxation in the quantum Brownian motion model for the harmonic potential. We compare a form, referred to as ‘poised’ (P), which after non-Markovian transients corresponds to a definition of heat as the change in the system Hamiltonian of mean force, with a recent proposal by Esposito et al (ELB) based on a definition of heat as the energy change in the bath. Both expressions yield a positive-definite entropy production and they coincide for vanishing coupling strength, but their difference is proved to be always positive (after non-Markovian transients disappear) and to grow as the coupling strength increases. In the classical ver-damped limit the ‘poised’ entropy production converges to the entropy production used in stochastic thermodynamics. We also investigate the effects of the system size, and of the ensuing Poincar´e recurrences, and how the classical limit is approached. We close by discussing the strongcoupling limit, in which the ideal canonical equilibrium of the bath is violated.

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