Independent electrons model for open quantum systems: Landauer-Buettiker formula and strict positivity of the entropy production
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
A general argument leading from the formula for currents through an open noninteracting mesoscopic system given by the theory of non-equilibrium steady states (NESS) to the Landauer-Buettiker formula is pointed out. Time reversal symmetry is not assumed. As a consequence it follows that, as far as the system has a nontrivial scattering theory and the reservoirs have different temperatures and/or chemical potentials, the entropy production is strictly positive.
Keywords
Cite
@article{arxiv.math-ph/0610074,
title = {Independent electrons model for open quantum systems: Landauer-Buettiker formula and strict positivity of the entropy production},
author = {G. Nenciu},
journal= {arXiv preprint arXiv:math-ph/0610074},
year = {2015}
}
Comments
12 pages. Submitted for publication in J. Math. Phys. on 2006-06-05. Revision and extension of: G. Nenciu, A general proof of Landauer-Buettiker formula, [math-ph/0603030]