Current large deviations for asymmetric exclusion processes with open boundaries

T. Bodineau; B. Derrida

doi:10.1007/s10955-006-9048-4

Current large deviations for asymmetric exclusion processes with open boundaries

T. Bodineau
, B. Derrida

École Polytechnique

Center for Atomic-scale Materials Physics (CAMP)

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

Abstract

We study the large deviation functional of the current for the Weakly Asymmetric Simple Exclusion Process in contact with two reservoirs. We compare this functional in the large drift limit to the one of the Totally Asymmetric Simple Exclusion Process, in particular to the Jensen-Varadhan functional. Conjectures for generalizing the Jensen-Varadhan functional to open systems are also stated.

Original language	English
Pages (from-to)	277-300
Number of pages	24
Journal	Journal of Statistical Physics
Volume	123
Issue number	2
DOIs	https://doi.org/10.1007/s10955-006-9048-4
Publication status	Published - 1 Jan 2006

Keywords

Large deviations
Non-equilibrium
Particle systems

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10.1007/s10955-006-9048-4

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title = "Current large deviations for asymmetric exclusion processes with open boundaries",

abstract = "We study the large deviation functional of the current for the Weakly Asymmetric Simple Exclusion Process in contact with two reservoirs. We compare this functional in the large drift limit to the one of the Totally Asymmetric Simple Exclusion Process, in particular to the Jensen-Varadhan functional. Conjectures for generalizing the Jensen-Varadhan functional to open systems are also stated.",

keywords = "Large deviations, Non-equilibrium, Particle systems",

author = "T. Bodineau and B. Derrida",

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AU - Bodineau, T.

AU - Derrida, B.

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N2 - We study the large deviation functional of the current for the Weakly Asymmetric Simple Exclusion Process in contact with two reservoirs. We compare this functional in the large drift limit to the one of the Totally Asymmetric Simple Exclusion Process, in particular to the Jensen-Varadhan functional. Conjectures for generalizing the Jensen-Varadhan functional to open systems are also stated.

AB - We study the large deviation functional of the current for the Weakly Asymmetric Simple Exclusion Process in contact with two reservoirs. We compare this functional in the large drift limit to the one of the Totally Asymmetric Simple Exclusion Process, in particular to the Jensen-Varadhan functional. Conjectures for generalizing the Jensen-Varadhan functional to open systems are also stated.

KW - Large deviations

KW - Non-equilibrium

KW - Particle systems

U2 - 10.1007/s10955-006-9048-4

DO - 10.1007/s10955-006-9048-4

M3 - Article

AN - SCOPUS:33646505769

SN - 0022-4715

VL - 123

SP - 277

EP - 300

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 2

ER -

Current large deviations for asymmetric exclusion processes with open boundaries

Abstract

Keywords

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