Percus-Yevick theory for the structural properties of the seven-dimensional hard-sphere fluid
Miguel Robles, Mariano Lopez de Haro, and Andres Santos
TL;DR
This paper derives analytical expressions for the direct correlation function and structure factor of a seven-dimensional hard-sphere fluid using Percus-Yevick theory, advancing understanding of high-dimensional fluid structures.
Contribution
It extends Percus-Yevick theory to seven dimensions, providing new analytical results for high-dimensional fluid structural properties.
Findings
Analytical expressions for the direct correlation function.
Analytical expressions for the static structure factor.
Enhanced understanding of high-dimensional fluid behavior.
Abstract
The direct correlation function and the (static) structure factor for a seven-dimensional hard-sphere fluid are considered. Analytical results for these quantities are derived within the Percus-Yevick theory
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