Relative Entropy, Interaction Energy and the Nature of Dissipation

Autor: Bernard Gaveau, Léo Granger, Michel Moreau, Lawrence S. Schulman
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Entropy, Vol 16, Iss 6, Pp 3173-3206 (2014)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e16063173
Popis: 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.
Databáze: Directory of Open Access Journals