Mathematical Theory of Non-Equilibrium Quantum Statistical Mechanics
- Cite this article as:
- Jakšić, V. & Pillet, CA. Journal of Statistical Physics (2002) 108: 787. doi:10.1023/A:1019818909696
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We review and further develop a mathematical framework for non-equilibrium quantum statistical mechanics recently proposed in refs. 1–7. 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.