Independent electrons model for open quantum systems: Landauer-Buettiker formula and strict positivity of the entropy production

Details Independent electrons model for open quantum systems: Landauer-Buettiker formula and strict positivity of the entropy production Independent electrons model for open quantum systems: Landauer-Buettiker formula and strict positivity of the entropy production

2006-10-26

arxiv.org/abs/math-ph/0610074v1

Physics

Mathematical Physics

12 pages. Submitted for publication in J. Math. Phys. on 2006-06-05. Revision and extension of: G. Nenciu, A general proof of

Scientific paper

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.

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