Universal expansion of three-particle distribution function

Universal expansion of three-particle distribution function
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三粒子分布函数的通用展开

DOI:
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发表时间:
1991
期刊:
影响因子:
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通讯作者:
I. Karlin
I. Karlin
中科院分区:
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文献类型:
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作者:
N. N. Bugaenko;A. Gorban;I. Karlin

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本文考虑具有两体相互作用的经典系统,得到了三粒子分布函数相对于两粒子相关函数的一个通用(独立于哈密顿量)展开式。特别地,我们建立了在没有长程相关性的情况下,对展开的前几个阶的考虑导致了柯克伍德近似。我们发现柯克伍德近似的第一次修正是在存在和不存在长期相关性的情况下。我们的出发点是拟平衡的构造
In this paper, we consider classical systems with two-body interaction and obtain a universal (independent of the Hamiltonian) expansion of the three-particle distribution function with respect to the two-particle correlation functions. In particular, we establish that allowance for the first few orders of the expansion in the absence of longrange correlations leads to the Kirkwood approximation. We find the first corrections to the Kirkwood approximation both in the presence and the absence of long-range correlations. Our point of departure is the construction of a quasi-equilibriu