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Kinetic limits for a class of interacting particle systems
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  • Published: March 1996

Kinetic limits for a class of interacting particle systems

  • F. Rezakhanlon1 

Probability Theory and Related Fields volume 104, pages 97–146 (1996)Cite this article

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Summary

We study one dimensional particle systems in which particles travel as independent random walks and collide stochastically. The collision rates are chosen so that each particle experiences finitely many collisions per unit time. We establish the kinetic limit and derive the discrete Boltzmann equation for the macroscopic particle density.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720-3840, Berkeley, CA, USA

    F. Rezakhanlon

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  1. F. Rezakhanlon
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Rezakhanlon, F. Kinetic limits for a class of interacting particle systems. Probab. Th. Rel. Fields 104, 97–146 (1996). https://doi.org/10.1007/BF01303805

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  • Received: 03 March 1995

  • Revised: 24 July 1995

  • Issue Date: March 1996

  • DOI: https://doi.org/10.1007/BF01303805

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Mathematics Subject Classification

  • 60K35
  • 76P05
  • 82C40
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