Entropy 2014, 16(6), 3173-3206; doi:10.3390/e16063173

Relative Entropy, Interaction Energy and the Nature of Dissipation

1, 2, 3 and 4,* email
Received: 10 February 2014; in revised form: 20 April 2014 / Accepted: 23 May 2014 / Published: 6 June 2014
(This article belongs to the Special Issue Complex Systems)
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Abstract: 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.
Keywords: relative entropy; dissipation; thermodynamic inequalities; interaction energy
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MDPI and ACS Style

Gaveau, B.; Granger, L.; Moreau, M.; Schulman, L.S. Relative Entropy, Interaction Energy and the Nature of Dissipation. Entropy 2014, 16, 3173-3206.

AMA Style

Gaveau B, Granger L, Moreau M, Schulman LS. Relative Entropy, Interaction Energy and the Nature of Dissipation. Entropy. 2014; 16(6):3173-3206.

Chicago/Turabian Style

Gaveau, Bernard; Granger, Léo; Moreau, Michel; Schulman, Lawrence S. 2014. "Relative Entropy, Interaction Energy and the Nature of Dissipation." Entropy 16, no. 6: 3173-3206.

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