Maximum-entropy theory of steady-state quantum transport

P Bokes, R W Godby

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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 languageEnglish
Article number125414
Pages (from-to)-
Number of pages5
JournalPhysical Review B
Issue number12
Publication statusPublished - 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);



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