A Correction to the Hydrodynamic Limit of Boundary Driven Weakly Asymmetric Exclusion Processes in a Quasi-Static Time Scale

被引：1
|
作者：
Chavez, E. [1 ]
Landim, C. [1 ,2 ]
机构：
[1] IMPA, Estr Dona Castorina 110, BR-22460 Rio De Janeiro 22460, Brazil
[2] Univ Rouen, CNRS UMR 6085, Ave Univ,BP 12,Technopole Madrillet, F-76801 St Etienne, France
来源：
JOURNAL OF STATISTICAL PHYSICS | 2016年 / 163卷 / 05期
关键词：
Hydrodynamic equation; Boundary driven interacting particle systems; First order correction; Quasi-static transformations; MACROSCOPIC FLUCTUATION THEORY; DIMENSION D-GREATER-THAN-OR-EQUAL-TO-3; NONEQUILIBRIUM STATES;
D O I：
10.1007/s10955-016-1514-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] boolean AND Z in the quasi-static time scale N-2 epsilon(-1)(N), where 1 << epsilon(-1)(N) << 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 epsilon(N).
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页码：1079 / 1107
页数：29
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