Evaluating the partition function for systems with long range interactions

Details Evaluating the partition function for systems with long range interactions Evaluating the partition function for systems with long range interactions

1999-02-19

arxiv.org/abs/cond-mat/9902280v4

Physics

Condensed Matter

Scientific paper

10.1016/S0375-9601(00)00148-1

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.

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