Approach to equilibrium in translation-invariant quantum systems: some structural results
Vojkan Jaksic (McGill University)
Abstract: We formulate the problem of approach to equilibrium in algebraic quantum statistical mechanics and study some of its structural aspects, focusing on the relation between the zeroth law of thermodynamics (approach to equilibrium) and the second law (increase of entropy). Our main result is that approach to equilibrium is necessarily accompanied by a strict increase of the specific (mean) entropy. In the course of our analysis, we introduce the concept of quantum weak Gibbs state which is of independent interest.
This is a joint work with C. Tauber and C.-A. Pillet
mathematical physics
Audience: researchers in the discipline
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