On the asymptotic behaviour of Spitzer's model for evolution of one- dimensional point systems
type: Item
instance of: scholarly article
title: On the asymptotic behaviour of Spitzer's model for evolution of one- dimensional point systems
zbMATH Open document ID: 0626.76092
DOI: 10.1007/BF01010481
author: Jianyong Qiao
author: Sumit K. Garg
published in: Journal of Statistical Physics
publication date: 1985-01-01T00:00:00Z
review text: A nearest-neighbor gradient dynamics of one-dimensional infinite particle systems is considered; the model admits a two-parameter family of stationary configurations. Some domains of attraction of stationary configurations are described, and the continuum (hydrodynamical) limit of the system is investigated. It is shown that the mean density of points satisfies a nonlinear diffusion equation in the hydrodynamical limit. [See also: \textit{F. Spitzer}, Lect. Notes Math. 89, 201-223 (1969; Zbl 0181.436)].
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 70F99
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 4018673
zbMATH Keywords: local stability
zbMATH Keywords: lattice approximation
zbMATH Keywords: hydrodynamical limit
zbMATH Keywords: nearest- neighbor gradient dynamics
zbMATH Keywords: one-dimensional infinite particle systems
zbMATH Keywords: two-parameter family of stationary configurations
zbMATH Keywords: nonlinear diffusion equation
MaRDI profile type: Publication
cites work: Q5571969
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cites work: Q3673829
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cites work: Time evolution of a one-dimensional point system: A note on Fritz's paper
full work available at URL: https://doi.org/10.1007/bf01010481
OpenAlex ID: W2042477370
description: scientific article; zbMATH DE number 4018673