A pressure consistent BGY equation: Virial coefficients for rigid disks and spheres

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Abstract
A closure for the two‐particle BGY equation is formulated by coupling the three‐particle distribution functions for the superposition approximation and the exact expression for rigid rods through a density and angle dependent quantity f( ρ,θ)=Ψ( ρ)χ(θ). Given the angle dependence, one can determine Ψ( ρ) by requiring that the virial theorem and the compressibility relation yield the same equation of state (pressure consistency). Fourth through tenth virial coefficients for rigid disks and spheres are calculated using this closure.