Hard sphere dynamics and the Enskog equation
Hard sphere dynamics and the Enskog equation
复制标题
硬球动力学和 Enskog 方程
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
I. Gapyak
中科院分区：
文献类型：
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作者：
Viktor Ivanovich Gerasimenko;I. Gapyak
我们发展了一个严格的形式主义的动力学演化的无限多的描述
硬球基于算子群累积量的动力学簇展开
的一个非微扰解的生成算子
导出了BBGKY族的Cauchy问题的非线性动力学Enskog方程。
对于用单粒子表示的初态，
分布函数BBGKY族的Cauchy问题演化的描述
并通过广义Enskog动力学方程的Cauchy问题和一系列
所述动力学方程的解的明确定义的泛函是等价的。为
本文证明了广义Enskog方程初值问题的存在性定理，
可积函数空间
We develop a rigorous formalism for the description of the kinetic evolution of infinitely many
hard spheres. On the basis of the kinetic cluster expansions of cumulants of groups of operators
of finitely many hard spheres which are the generating operators of a nonperturbative solution of
the Cauchy problem of the BBGKY hierarchy the nonlinear kinetic Enskog equation is derived.
It is established that for initial states which are specified in terms of one-particle
distribution functions the description of the evolution by the Cauchy problem of the BBGKY hierarchy
and by the Cauchy problem of the generalized Enskog kinetic equation together with a sequence of
explicitly defined functionals of a solution of stated kinetic equation are an equivalent. For the
initial-value problem of the generalized Enskog equation the existence theorem is proved in the
space of integrable functions.