Equivalence between canonical Gibbs measures and stationary measures for stochastic lattice-gas model

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It is proved that, under appropriate conditions on the jump rate and potential, one-and two-dimensional stochastic lattice-gas models (exclusion process with speed change) have only canonical Gibbs measures as their stationary measures. This extends the previously known result, which treats only a special jump rate and potential.

Original languageEnglish
Pages (from-to)949-959
Number of pages11
JournalJournal of Statistical Physics
Volume98
Issue number3-4
Publication statusPublished - 2000 Feb
Externally publishedYes

Fingerprint

Stationary Measure
Lattice Gas Model
Gibbs Measure
equivalence
Jump
Equivalence
Exclusion Process
exclusion
gases

Keywords

  • Canonical Gibbs measure
  • Detailed balance condition
  • Exclusion process
  • Free energy

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Equivalence between canonical Gibbs measures and stationary measures for stochastic lattice-gas model. / Sakagawa, Hironobu.

In: Journal of Statistical Physics, Vol. 98, No. 3-4, 02.2000, p. 949-959.

Research output: Contribution to journalArticle

@article{da8d4c84c77f44b999fee24e44183cd4,
title = "Equivalence between canonical Gibbs measures and stationary measures for stochastic lattice-gas model",
abstract = "It is proved that, under appropriate conditions on the jump rate and potential, one-and two-dimensional stochastic lattice-gas models (exclusion process with speed change) have only canonical Gibbs measures as their stationary measures. This extends the previously known result, which treats only a special jump rate and potential.",
keywords = "Canonical Gibbs measure, Detailed balance condition, Exclusion process, Free energy",
author = "Hironobu Sakagawa",
year = "2000",
month = "2",
language = "English",
volume = "98",
pages = "949--959",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "3-4",

}

TY - JOUR

T1 - Equivalence between canonical Gibbs measures and stationary measures for stochastic lattice-gas model

AU - Sakagawa, Hironobu

PY - 2000/2

Y1 - 2000/2

N2 - It is proved that, under appropriate conditions on the jump rate and potential, one-and two-dimensional stochastic lattice-gas models (exclusion process with speed change) have only canonical Gibbs measures as their stationary measures. This extends the previously known result, which treats only a special jump rate and potential.

AB - It is proved that, under appropriate conditions on the jump rate and potential, one-and two-dimensional stochastic lattice-gas models (exclusion process with speed change) have only canonical Gibbs measures as their stationary measures. This extends the previously known result, which treats only a special jump rate and potential.

KW - Canonical Gibbs measure

KW - Detailed balance condition

KW - Exclusion process

KW - Free energy

UR - http://www.scopus.com/inward/record.url?scp=0034134804&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034134804&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034134804

VL - 98

SP - 949

EP - 959

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -