Microscopic stationary states for stochastic systems with particle flux
type: Item
instance of: scholarly article
title: Microscopic stationary states for stochastic systems with particle flux
zbMATH Open document ID: 0628.60106
DOI: 10.1007/BF00334207
author: Sheldon Goldstein
author: Pablo A. Ferrari
publication date: 1988-01-01T00:00:00Z
review text: Let \(\eta _ t\) be the symmetric nearest neighbor simple exclusion process on \({\mathbb{Z}}^ 3\) modified to allow the spontaneous creation and destruction of particles at the origin. We study the invariant measures for the system in this non-equilibrium situation, for which a net current of particles flows from the origin. We analyze the n-point correlations of the invariant measures, which for \(n=2\) behave like \(\max (x_ 1,x_ 2)^{-4}\).
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4022336
zbMATH Keywords: symmetric nearest neighbor simple exclusion process
zbMATH Keywords: creation and destruction of particles
zbMATH Keywords: correlations of the invariant measures
MaRDI profile type: Publication
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published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4022336