Ladder approximation for threehyphen; and fourhyphen;particle correlation functions

摘要

An example of an application of a recently developed generalized Ornsteinndash;Zernike formalism to the numerical evaluation of equilibrium threehyphen; and fourhyphen;particle correlation functions is given. Using a simple closure approximation leading to the ladder approximation we have numerically evaluated dipolendash;dipolehyphen;interaction correlation functions for a polarizable nonpolar hardhyphen;sphere fluid. These functions depend on the threehyphen; and fourhyphen;particle correlation functions and describe a correction to the Clausiusndash;Mossoti formula for the dielectric constant and an integrated intensity measured in depolarized light scattering experiments. Qualitative agreement with computer simulation data was found for a wide range of densities up to the fluidndash;solid phase transition. For high densities the ladder approximation yeilds much better results than the Kirkwood superposition approximation, which becomes useless in this context at liquidhyphen;state densities.