Evaluating the partition function for systems with long range interactions
Condensed Matter
2009-10-31 v4 Astrophysics
Plasma Physics
Abstract
We express the partition function for an equilibrium system of interacting particles in the canonical ensemble as a functional integration over the particles' density field. We outline a method to evaluate the partition function by expanding around a saddle point. The saddle point is shown to be the solution of the equivalent mean-field theory. Leading corrections to the mean-field theory takes the form of a Gaussian integral.
Cite
@article{arxiv.cond-mat/9902280,
title = {Evaluating the partition function for systems with long range interactions},
author = {Tong Zhou},
journal= {arXiv preprint arXiv:cond-mat/9902280},
year = {2009}
}