Equation of states for classical Coulomb systems. The use of Hubbard-Schofield approach
Abstract
An effective method based on Hubbard-Schofield approach [Phys. Lett. A 40, 245 (1972)] is developed to calculate the free energy of classical Coulomb systems. This method significantly simplifies the derivation of the cluster expansion. A diagrammatic representation of the cluster integrals is proposed. Simple rules providing the leading order in density n of each diagrammatic contribution are found. We calculate the n3 contribution and recover the results at the order n5/2 obtained by the traditional method of resummation of diverging Mayer bonds.
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