Tuesday, July 23, 2013

1307.5550 (Victor F. Los)

Exact closed equation for reduced equilibrium distribution functions of
the many-particle system

Victor F. Los
An exact closed equation for s - particle equilibrium distribution function (s>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.
View original: http://arxiv.org/abs/1307.5550

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