Correlations in a finite number of particles system simulating a rarefied gas
type: Item
instance of: scholarly article
title: Correlations in a finite number of particles system simulating a rarefied gas
zbMATH Open document ID: 0796.76079
DOI: 10.1007/BF01056795
author: V. Ya. Rudyak
published in: Fluid Dynamics
publication date: 1994-03-20T00:00:00Z
review text: This paper presents considerations on the pair correlation function in systems describing a rarefied gas with a finite number of particles, in the large number of particles limit, in view of numerical simulations with a small number of particles. First of all, the equation for a spatially homogeneous rarefied gas is stated, in a form which involves only binary collisions (in the finite number of particle case). The pair correlation function is defined, and calculated in the case of the BKW (Bobylev-Krook-Wu) solution at the first order in the number \(N\) of particles. The influence of \(N\) is then studied by the mean of the moments of the single particle distribution, and some numerical estimates are given. The influence of the spatial inhomogeneities (when it is assumed that the pair correlation function depends only on the hydrodynamic variables) and the possible influence of the boundary are finally investigated.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 515040
zbMATH Keywords: thermodynamical limit
zbMATH Keywords: BKW solution
zbMATH Keywords: numerical simulations
zbMATH Keywords: binary collisions
zbMATH Keywords: pair correlation function
zbMATH Keywords: spatial inhomogeneities
reviewed by: Jean Dolbeault
MaRDI profile type: Publication
cites work: Exact solutions of the Boltzmann equation
description: scientific article; zbMATH DE number 515040