Exact closed equation for reduced equilibrium distribution functions of the many-particle system
Statistical Mechanics
2013-07-23 v1
Abstract
An exact closed equation for s - particle equilibrium distribution function (s<N) of the system of N>>1 interacting particles is obtained. This integra-differential {\beta} - convolution equation ({\beta}=1/k_{B}T) follows from the Bloch equation for the canonical distribution function by applying the projection operator integrating off the coordinates of N-s irrelevant particles. The method of expansion of the obtained equation kernel in the particle density n is suggested. The solution to this equation in the linear in n approximation for the kernel is found.
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Cite
@article{arxiv.1307.5550,
title = {Exact closed equation for reduced equilibrium distribution functions of the many-particle system},
author = {Victor F. Los},
journal= {arXiv preprint arXiv:1307.5550},
year = {2013}
}
Comments
11 pages