On the quasi-static evolution of nonequilibrium steady states

Details On the quasi-static evolution of nonequilibrium steady states On the quasi-static evolution of nonequilibrium steady states

2006-01-23

arxiv.org/abs/math-ph/0601046v4

Physics

Mathematical Physics

39 pages. Some typos corrected. To appear in Ann. Henri Poincare

Scientific paper

10.1007/s00023-006-0316-2

The quasi-static evolution of steady states far from equilibrium is investigated from the point of view of quantum statistical mechanics. As a concrete example of a thermodynamic system, a two-level quantum dot coupled to several reservoirs of free fermions at different temperatures is considered. A novel adiabatic theorem for unbounded and nonnormal generators of evolution is proven and applied to study the quasi-static evolution of nonequilibrium steady states (NESS) of the coupled system.

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