A Stochastic Model Associated with Enskog Equation and Its Kinetic Limit |
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Authors: | Fraydoun Rezakhanlou |
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Affiliation: | (1) Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720–3840, USA, US |
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Abstract: | ![]() 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 Nɛ d goes to a nonzero constant, we show that the particle density converges to a solution of the Enskog Equation. Received: 29 January 2002 / Accepted: 30 July 2002 Published online: 14 November 2002 RID="*" ID="*" Research supported in part by NSF Grant DMS-0072666 |
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