Stochastic dynamics and hierarchy for the Boltzmann equation with arbitrary differential scattering cross section

被引：0
作者：
Lampis M. [1 ]
Petrina D.Ya. [2 ]
机构：
[1] Dipartimento di Matematica, Politecnico di Milano, Milan
[2] Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv
来源：
Ukrainian Mathematical Journal | 2004年 / 56卷 / 12期
关键词：
Correlation Function; Boltzmann Equation; Momentum Space; Lower Dimension; Point Particle;
D O I：
10.1007/s11253-005-0160-4
中图分类号：
学科分类号：
摘要：
The stochastic dynamics for point particles that corresponds to the Boltzmann equation with arbitrary differential scattering cross section is constructed. We derive the stochastic Boltzmann hierarchy the solutions of which outside the hyperplanes of lower dimension where the point particles interact are equal to the product of one-particle correlation functions, provided that the initial correlation functions are products of one-particle correlation functions. A one-particle correlation function satisfies the Boltzmann equation. The Kac dynamics in the momentum space is obtained. © 2005 Springer Science+Business Media, Inc.
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页码：1932 / 1960
页数：28
相关论文
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