Dynamical large deviations for a boundary driven stochastic lattice gas model with many conserved quantities

Jonathan Farfan; Alexandre B. Simas; Fábio J. Valentim

doi:10.1007/s10955-010-9957-0

Dynamical large deviations for a boundary driven stochastic lattice gas model with many conserved quantities

Jonathan Farfan
, Alexandre B. Simas
, Fábio J. Valentim

Instituto National de Matemática Pura e Aplicada
IMCA
Universidade Federal do Espirito Santo

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

Abstract

We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the boundary: this is the so-called boundary driven process. The dynamics we considered consists of a weakly asymmetric simple exclusion process with collision among particles having different velocities.

Original language	English
Pages (from-to)	658-685
Number of pages	28
Journal	Journal of Statistical Physics
Volume	139
Issue number	4
DOIs	https://doi.org/10.1007/s10955-010-9957-0
State	Published - May 2010
Externally published	Yes

Keywords

Boundary driven exclusion processes
Large deviations

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10.1007/s10955-010-9957-0

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title = "Dynamical large deviations for a boundary driven stochastic lattice gas model with many conserved quantities",

abstract = "We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the boundary: this is the so-called boundary driven process. The dynamics we considered consists of a weakly asymmetric simple exclusion process with collision among particles having different velocities.",

keywords = "Boundary driven exclusion processes, Large deviations",

author = "Jonathan Farfan and Simas, \{Alexandre B.\} and Valentim, \{F{\'a}bio J.\}",

year = "2010",

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doi = "10.1007/s10955-010-9957-0",

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AU - Farfan, Jonathan

AU - Simas, Alexandre B.

AU - Valentim, Fábio J.

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N2 - We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the boundary: this is the so-called boundary driven process. The dynamics we considered consists of a weakly asymmetric simple exclusion process with collision among particles having different velocities.

AB - We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the boundary: this is the so-called boundary driven process. The dynamics we considered consists of a weakly asymmetric simple exclusion process with collision among particles having different velocities.

KW - Boundary driven exclusion processes

KW - Large deviations

UR - https://www.scopus.com/pages/publications/77951880434

U2 - 10.1007/s10955-010-9957-0

DO - 10.1007/s10955-010-9957-0

M3 - Article

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SN - 0022-4715

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EP - 685

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 4

ER -

Dynamical large deviations for a boundary driven stochastic lattice gas model with many conserved quantities

Abstract

Keywords

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