A correction to the hydrodynamic limit of boundary driven weakly asymmetric exclusion processes in a quasi-static time scale

E. Chavez; C. Landim

doi:10.1007/s10955-016-1514-z

A correction to the hydrodynamic limit of boundary driven weakly asymmetric exclusion processes in a quasi-static time scale

E. Chavez, C. Landim

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

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Abstract

We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N²ϵ_N^-1, where 1≪ϵ_N^-1≪N^1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵ_N.

Original language	English
Pages (from-to)	1079-1107
Number of pages	29
Journal	Journal of Statistical Physics
Volume	163
Issue number	5
DOIs	https://doi.org/10.1007/s10955-016-1514-z
State	Published - 1 Jun 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer Science+Business Media New York.

Keywords

Boundary driven interacting particle systems
First order correction
Hydrodynamic equation
Quasi-static transformations

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10.1007/s10955-016-1514-z

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abstract = "We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N2ϵN-1, where 1≪ϵN-1≪N1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵN.",

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AU - Landim, C.

PY - 2016/6/1

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N2 - We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N2ϵN-1, where 1≪ϵN-1≪N1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵN.

AB - We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N2ϵN-1, where 1≪ϵN-1≪N1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵN.

KW - Boundary driven interacting particle systems

KW - First order correction

KW - Hydrodynamic equation

KW - Quasi-static transformations

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U2 - 10.1007/s10955-016-1514-z

DO - 10.1007/s10955-016-1514-z

M3 - Article in a journal

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SN - 0022-4715

VL - 163

SP - 1079

EP - 1107

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5

ER -

A correction to the hydrodynamic limit of boundary driven weakly asymmetric exclusion processes in a quasi-static time scale

Abstract

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Keywords

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