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Maximum-entropy theory of steady-state quantum transport

Bokes, P and Godby, R W (2003) Maximum-entropy theory of steady-state quantum transport. Physical review b. 125414. -. ISSN 1098-0121

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Abstract

We develop a theoretical framework for describing steady-state quantum transport phenomena, based on the general maximum-entropy principle of nonequilibrium statistical mechanics. The general form of the many-body density matrix is derived, which contains the invariant part of the current operator that guarantees the nonequilibrium and steady-state character of the ensemble. Several examples of the theory are given, demonstrating the relationship of the present treatment to the widely used scattering-state occupation schemes at the level of the self-consistent single-particle approximation. The latter schemes are shown not to maximize the entropy, except in certain limits.

Item Type: Article
Copyright, Publisher and Additional Information: © 2003 American Physical Society. This is an author produced version of a paper published in Physical Review B. Uploaded in accordance with the publisher's self archiving policy. NB Erratum: Physical Review B 72 199904(E) (2005) (1 page); http://link.aps.org/abstract/PRB/v72/e199904.
Keywords: CONDUCTANCE
Academic Units: The University of York > Physics (York)
Depositing User: Physics Import
Date Deposited: 29 Aug 2008 14:29
Last Modified: 17 Oct 2013 14:29
Published Version: http://dx.doi.org/10.1103/PhysRevB.68.125414
Status: Published
Refereed: Yes
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/4017

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