Statistical field theory for a multicomponent fluid: The collective variables approach

preprint2007arXivOpen access

Abstract

Using the collective variables (CV) method the basic relations of statistical field theory of a multicomponent non-homogeneous fluids are reconsidered. The corresponding CV action depends on two sets of scalar fields - fields ραρ_α connected to the local density fluctuations of the ααth species of particles and fields ωαω_α conjugated to ραρ_α. The explicit expressions for the CV field correlations and their relation to the density correlation functions are found. The perturbation theory is formulated and a mean field level (MF) of the theory is considered in detail.

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