Maximum-entropy theory of steady-state quantum transport

P Bokes; R W Godby

doi:10.1103/PhysRevB.68.125414

Maximum-entropy theory of steady-state quantum transport

P Bokes, R W Godby

Physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	125414
Pages (from-to)	-
Number of pages	5
Journal	Physical Review B
Volume	68
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevB.68.125414
Publication status	Published - 15 Sept 2003

Bibliographical note

© 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

Access to Document

10.1103/PhysRevB.68.125414

Cite this

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