B. Gaveau, L. Granger, M. Moreau, L. S. Schulman
Published 2013-09-17Version 1
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. As an application, the relative entropy is related to transport coefficients.
Relative entropy, interaction energy and the nature of dissipation
Generalized relation between the relative entropy and dissipation for nonequilibrium systems
Switching mechanism in periodically driven quantum systems with dissipation
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