Ladder approximation for three- and four-particle correlation functions

J. Blawzdziewicz, B. Cichocki, G. Szamel

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An example of an application of a recently developed generalized Ornstein-Zernike formalism to the numerical evaluation of equilibrium three- and four-particle correlation functions is given. Using a simple closure approximation leading to the ladder approximation we have numerically evaluated dipole-dipole-interaction correlation functions for a polarizable nonpolar hard-sphere fluid. These functions depend on the three- and four-particle correlation functions and describe a correction to the Clausius-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 fluid-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 liquid-state densities.

Original languageEnglish
Pages (from-to)7467-7476
Number of pages10
JournalThe Journal of Chemical Physics
Issue number12
StatePublished - Jan 1 1989


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