From dynamic to static large deviations in boundary driven exclusion particle systems

Thierry Bodineau; Giambattista Giacomin

doi:10.1016/j.spa.2003.10.005

From dynamic to static large deviations in boundary driven exclusion particle systems

Thierry Bodineau
, Giambattista Giacomin

Laboratoire de Probabilités et Modèles Aléatoires

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

23 Citations (Scopus)

Abstract

We consider the large deviations for the stationary measures associated to a boundary driven symmetric simple exclusion process. Starting from the large deviations for the hydrodynamics and following the Freidlin and Wentzell's strategy, we prove that the rate function is given by the quasi-potential of the Freidlin and Wentzell theory.This result is motivated by the recent developments on the non-equilibrium stationary measures by Derrida et al. (J. Statist. Phys. 107 (2002) 599) and the more closely related dynamical approach by Bertini et al. (J. Statist. Phys. 107 (2002) 635).

Original language	English
Pages (from-to)	67-81
Number of pages	15
Journal	Stochastic Processes and their Applications
Volume	110
Issue number	1
DOIs	https://doi.org/10.1016/j.spa.2003.10.005
Publication status	Published - 1 Mar 2004
Externally published	Yes

Keywords

Exclusion process
Freidlin-Wentzell approach
Hydrodynamic limit
Large deviations
Open systems
Particle systems
Steady states

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10.1016/j.spa.2003.10.005

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title = "From dynamic to static large deviations in boundary driven exclusion particle systems",

abstract = "We consider the large deviations for the stationary measures associated to a boundary driven symmetric simple exclusion process. Starting from the large deviations for the hydrodynamics and following the Freidlin and Wentzell's strategy, we prove that the rate function is given by the quasi-potential of the Freidlin and Wentzell theory.This result is motivated by the recent developments on the non-equilibrium stationary measures by Derrida et al. (J. Statist. Phys. 107 (2002) 599) and the more closely related dynamical approach by Bertini et al. (J. Statist. Phys. 107 (2002) 635).",

keywords = "Exclusion process, Freidlin-Wentzell approach, Hydrodynamic limit, Large deviations, Open systems, Particle systems, Steady states",

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T1 - From dynamic to static large deviations in boundary driven exclusion particle systems

AU - Bodineau, Thierry

AU - Giacomin, Giambattista

PY - 2004/3/1

Y1 - 2004/3/1

N2 - We consider the large deviations for the stationary measures associated to a boundary driven symmetric simple exclusion process. Starting from the large deviations for the hydrodynamics and following the Freidlin and Wentzell's strategy, we prove that the rate function is given by the quasi-potential of the Freidlin and Wentzell theory.This result is motivated by the recent developments on the non-equilibrium stationary measures by Derrida et al. (J. Statist. Phys. 107 (2002) 599) and the more closely related dynamical approach by Bertini et al. (J. Statist. Phys. 107 (2002) 635).

AB - We consider the large deviations for the stationary measures associated to a boundary driven symmetric simple exclusion process. Starting from the large deviations for the hydrodynamics and following the Freidlin and Wentzell's strategy, we prove that the rate function is given by the quasi-potential of the Freidlin and Wentzell theory.This result is motivated by the recent developments on the non-equilibrium stationary measures by Derrida et al. (J. Statist. Phys. 107 (2002) 599) and the more closely related dynamical approach by Bertini et al. (J. Statist. Phys. 107 (2002) 635).

KW - Exclusion process

KW - Freidlin-Wentzell approach

KW - Hydrodynamic limit

KW - Large deviations

KW - Open systems

KW - Particle systems

KW - Steady states

U2 - 10.1016/j.spa.2003.10.005

DO - 10.1016/j.spa.2003.10.005

M3 - Article

AN - SCOPUS:0742324172

SN - 0304-4149

VL - 110

SP - 67

EP - 81

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 1

ER -

From dynamic to static large deviations in boundary driven exclusion particle systems

Abstract

Keywords

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