Statistical field theory for simple fluids: the collective variables representation

Details Statistical field theory for simple fluids: the collective variables representation Statistical field theory for simple fluids: the collective variables representation

2005-03-09

arxiv.org/abs/cond-mat/0503213v3

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2005.11.010

An alternative representation of an exact statistical field theory for simple fluids, based on the method of collective variables, is presented. The results obtained are examined from the point of another version of theory that was developed recently by performing a Hubbard-Stratonovich transformation of the configurational Boltzmann factor [J.-M. Caillol, Mol. Phys. 101 (2003) 1617]. The analytical expressions for the pressure and the free energy are derived in two-loop approximation for both versions of theory and it is shown that they are indeed equivalent.The results yield a new type approximation within an untested approximation scheme.

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