A note on the entropy production formula

Vojkan Jaksic (1) , Claude-Alain Pillet (2, 3, 4, 5)

1 Department of Mathematics and Statistics [Montréal]
2 FRUMAM - Fédération de Recherche des Unités de MAthématiques de Marseille
3 CPT - E5 Physique statistique et systèmes complexes
4 CPT - Centre de Physique Théorique - UMR 6207
5 CPT - Centre de Physique Théorique - UMR 7332

We give an elementary derivation of the entropy production formula of [http://hal.archives-ouvertes.fr/hal-00005457] based on Araki Perturbation Theory of KMS states. Using this derivation we show that the entropy production of any normal, stationary state is zero.

Mots clés: Araki perturbation theory of KMS states; relative entropy of states; entropy production; nonequilibrium statistical mechanics; steady state; NESS; open systems

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Vojkan Jaksic, Claude-Alain Pillet. A note on the entropy production formula. Contemporary mathematics, 2003, 327, pp.175-180. ⟨hal-00184182⟩