Communications in Mathematical Physics

, Volume 232, Issue 2, pp 327–375 | Cite as

A Stochastic Model Associated with Enskog Equation and Its Kinetic Limit

  • Fraydoun Rezakhanlou


 We examine a system of particles in which the particles travel deterministically in between stochastic collisions. The collisions are elastic and occur with probability ɛ d when two particles are at a distance σ. When the number of particles N goes to infinity and d goes to a nonzero constant, we show that the particle density converges to a solution of the Enskog Equation.


Stochastic Model Particle Density Nonzero Constant Kinetic Limit Model Associate 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Fraydoun Rezakhanlou
    • 1
  1. 1.Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720–3840, USAUS

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