Direct simulation for a homogeneous gas

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Karabulut H.

AMERICAN JOURNAL OF PHYSICS, vol.75, no.1, pp.62-66, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 75 Issue: 1
  • Publication Date: 2007
  • Doi Number: 10.1119/1.2366735
  • Journal Name: AMERICAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.62-66
  • Recep Tayyip Erdoğan University Affiliated: No

Abstract

A probabilistic analysis of the direct simulation of a homogeneous gas is given. A hierarchy of equations similar to the BBGKY hierarchy for the reduced probability densities is derived. By invoking the molecular chaos assumption, an equation similar to the Boltzmann equation for the single particle probability density and the corresponding H-theorem is derived. (C) 2007 American Association of Physics Teachers.