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

Relative Entropy, Interaction Energy and the Nature of Dissipation

1, 2, 3 and 4,*
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)
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 relative entropy; dissipation; thermodynamic inequalities; interaction energy
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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