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Current-constraining variational approaches to quantum transport

Bokes, P, Mera, H and Godby, R W (2005) Current-constraining variational approaches to quantum transport. Physical Review B. 165425. -. ISSN 1550-235X

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Presently, the main methods for describing a nonequilibrium charge-transporting steady state are based on time-evolving it from the initial zero-current situation. An alternative class of theories would give the statistical nonequilibrium density operator from principles of statistical mechanics, in a spirit close to Gibbs ensembles for equilibrium systems, leading to a variational principle for the nonequilibrium steady state. We discuss the existing attempts to achieve this using the maximum entropy principle based on constraining the average current. We show that the current-constrained theories result in a zero-induced drop in electrostatic potential, so that such ensembles cannot correspond to the time-evolved density matrix, unless left- and right-going scattering states are mutually incoherent.

Item Type: Article
Copyright, Publisher and Additional Information: © 2005 American Physical Society. This is an author produced version of a paper published in Physical Review B and uploaded in accordance with the publisher's self archiving policy.
Institution: The University of York
Academic Units: The University of York > Physics (York)
Depositing User: Physics Import
Date Deposited: 19 Aug 2008 09:24
Last Modified: 22 May 2016 00:03
Published Version: http://dx.doi.org/10.1103/PhysRevB.72.165425
Status: Published
Refereed: Yes
URI: http://eprints.whiterose.ac.uk/id/eprint/4026

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