Vojkan Jaksic and Claude-Alain Pillet
Mathematical theory of non-equilibrium quantum statistical mechanics
(323K, postscript)
ABSTRACT. We review and further develop a mathematical framework for non-equilibrium
quantum statistical mechanics recently proposed in [JP4, JP5, JP6,
Ru3, Ru4, Ru5, Ru6]. In the algebraic formalism of quantum statistical
mechanics we introduce notions of non-equilibrium steady states, entropy
production and heat fluxes, and study their properties. Our basic paradigm
is a model of a small (finite) quantum system coupled to several independent
thermal reservoirs. We exhibit examples of such systems which have
strictly positive entropy production.