A Stochastic Model Associated with Enskog Equation and Its Kinetic Limit

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作者
Fraydoun Rezakhanlou
机构
[1] Department of Mathematics,
[2] University of California at Berkeley,undefined
[3] Berkeley,undefined
[4] CA 94720–3840,undefined
[5] USA,undefined
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Stochastic Model; Particle Density; Nonzero Constant; Kinetic Limit; Model Associate;
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摘要
 We examine a system of particles in which the particles travel deterministically in between stochastic collisions. The collisions are elastic and occur with probability ɛd when two particles are at a distance σ. When the number of particles N goes to infinity and Nɛd goes to a nonzero constant, we show that the particle density converges to a solution of the Enskog Equation.
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页码:327 / 375
页数:48
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