Hydrodynamics and large deviation for simple exclusion processes

C. Kipnis; S. Olla; S. R.S. Varadhan

doi:10.1002/cpa.3160420202

Hydrodynamics and large deviation for simple exclusion processes

C. Kipnis, S. Olla, S. R.S. Varadhan

Mathematics

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

Abstract

We prove the hydrodynamical limit for weakly asymmetric simple exclusion processes. A large deviation property with respect to this limit is established for the symmetric case. We treat also the situation where a slow reaction (creation and annihilation of particles) is present.

Original language	English (US)
Pages (from-to)	115-137
Number of pages	23
Journal	Communications on Pure and Applied Mathematics
Volume	42
Issue number	2
DOIs	https://doi.org/10.1002/cpa.3160420202
State	Published - Mar 1989

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1002/cpa.3160420202

Cite this

@article{d90a20c755b1455ebf3b475f9c916551,

title = "Hydrodynamics and large deviation for simple exclusion processes",

abstract = "We prove the hydrodynamical limit for weakly asymmetric simple exclusion processes. A large deviation property with respect to this limit is established for the symmetric case. We treat also the situation where a slow reaction (creation and annihilation of particles) is present.",

author = "C. Kipnis and S. Olla and Varadhan, {S. R.S.}",

year = "1989",

month = mar,

doi = "10.1002/cpa.3160420202",

language = "English (US)",

volume = "42",

pages = "115--137",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

number = "2",

}

TY - JOUR

T1 - Hydrodynamics and large deviation for simple exclusion processes

AU - Kipnis, C.

AU - Olla, S.

AU - Varadhan, S. R.S.

PY - 1989/3

Y1 - 1989/3

N2 - We prove the hydrodynamical limit for weakly asymmetric simple exclusion processes. A large deviation property with respect to this limit is established for the symmetric case. We treat also the situation where a slow reaction (creation and annihilation of particles) is present.

AB - We prove the hydrodynamical limit for weakly asymmetric simple exclusion processes. A large deviation property with respect to this limit is established for the symmetric case. We treat also the situation where a slow reaction (creation and annihilation of particles) is present.

UR - http://www.scopus.com/inward/record.url?scp=84990617818&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84990617818&partnerID=8YFLogxK

U2 - 10.1002/cpa.3160420202

DO - 10.1002/cpa.3160420202

M3 - Article

AN - SCOPUS:84990617818

SN - 0010-3640

VL - 42

SP - 115

EP - 137

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 2

ER -

Hydrodynamics and large deviation for simple exclusion processes

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this