Analytic calculation of B4 for hard spheres in even dimensions
N. Clisby, B. M. McCoy
TL;DR
This paper provides exact calculations of the fourth virial coefficient for hard spheres in even dimensions, specifically for D=4,6,8,10, and 12, advancing the understanding of high-dimensional sphere systems.
Contribution
It introduces an exact analytical method to compute the fourth virial coefficient for hard spheres in multiple even dimensions, a task previously approached mainly through numerical methods.
Findings
Exact values of B4 for D=4,6,8,10,12
Demonstrates feasibility of analytical calculations in high dimensions
Provides data useful for theoretical and computational models
Abstract
We exactly calculate the fourth virial coefficient for hard spheres in even dimensions for D=4,6,8,10, and 12.
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