Title: Path integral versus conventional formulation of equilibrium classical statistical mechanics
Abstract:The partition function for the grand canonical ensemble of particles interacting via pairwise potential is presented in the field-theoretic path integral form. The Schwinger-type equation of motion fo...The partition function for the grand canonical ensemble of particles interacting via pairwise potential is presented in the field-theoretic path integral form. The Schwinger-type equation of motion for the above partition function produce in the lowest order approximation the famous mean spherical approximation. Use of the saddle point methods applied to the partition function produces known density functional results. The above field-theoretic form is further generalized to the case when the interaction between the particles depends upon their internal ‘‘quantum’’ states which are being modeled with the help of Potts-like variables.Read More
Publication Year: 1989
Publication Date: 1989-10-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 13
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