07-04E
07-04E
Statistical field theory for a multicomponent fluid: The collective variables approach
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 $\rho _{\alpha }$ connected to the local density fluctuations of the $\alpha $th species of particles and fields $\omega _{\alpha }$ conjugated to $\rho _{\alpha }$. 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.