On the quasi-static evolution of nonequilibrium steady states
Mathematical Physics
2009-11-11 v4 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0601046,
title = {On the quasi-static evolution of nonequilibrium steady states},
author = {Walid K. Abou Salem},
journal= {arXiv preprint arXiv:math-ph/0601046},
year = {2009}
}
Comments
39 pages. Some typos corrected. To appear in Ann. Henri Poincare