Journal
ENTROPY
Volume 16, Issue 6, Pages 3173-3206Publisher
MDPI AG
DOI: 10.3390/e16063173
Keywords
relative entropy; dissipation; thermodynamic inequalities; interaction energy
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Many thermodynamic relations involve inequalities, with equality if a process does not involve dissipation. In this article we provide equalities in which the dissipative contribution is shown to involve the relative entropy (a.k.a. Kullback-Leibler divergence). The processes considered are general time evolutions both in classical and quantum mechanics, and the initial state is sometimes thermal, sometimes partially so. By calculating a transport coefficient we show that indeed-at least in this case-the source of dissipation in that coefficient is the relative entropy.
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