Hydrodynamical limit for the symmetric zero-range process
type: Item
instance of: scholarly article
title: Hydrodynamical limit for the symmetric zero-range process
zbMATH Open document ID: 0646.60038
author: Albert Benassi
author: Jean-Pierre Fouque
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77322
review text: In Ann. Probab. 15, 546-560 (1987; Zbl 0623.60120), we proved a strong law of large numbers for the rescaled asymmetric nearest neighbor simple exclusion process. The method is based on the properties of the limiting first order nonlinear partial differential equation. In this article we show that the same method applies to the asymmetric zero-range process, the limiting equation being of the same type. An improvement of our paper cited above enables us to remove the nearest neighbor assumption. We obtained the local equilibrium as an easy consequence.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 35F99
zbMATH DE Number: 4054708
zbMATH Keywords: hydrodynamical limit
zbMATH Keywords: entropy condition
zbMATH Keywords: strong law of large numbers
zbMATH Keywords: exclusion process
zbMATH Keywords: local equilibrium
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4054708