Continuum Percolation in an Interacting System: Exact Solution of the Percus-Yevick Equation for Connectivity in Liquids

Abstract
The general role of interparticle interactions is considered for percolation problems in liquids. With the aid of a diagrammatic formulation of the Percus-Yevick approximation, we analyze the dependence of connectedness (percolation) on correlation (interaction). This idea is illustrated by the analytical solution of the Percus-Yevick equation for a model of percolation in liquids, revealing that excluded volume (for example) may either enhance or suppress percolation.

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