The fourth virial coefficient for hard spheres in even dimension

IGNACIO URRUTIA

JOURNAL OF STATISTICAL PHYSICS

SPRINGER

Lugar: Berlin; Año: 2022 vol. 187 p. 1 - 21

0022-4715

The fourth virial coefficient is calculated exactly for a fluid of hard spheres in even dimensions. For this purpose the complete star cluster integral is expressed as the sum of two three-folded integrals only involving spherical angular coordinates. These integrals are solved analytically for any even dimension d , and working with existing expressions for the other terms of the fourth cluster integral, we obtain an expression for the fourth virial coefficient B 4 (d) for even d . It reduces to the sum of a finite number of simple terms that increases with d .div.abstract {font-size: small;margin-top: 0.7ex;margin-bottom: 0.7ex;margin-left: 3ex;margin-right: 3ex;text-align: left;}span.abstract_label {font-weight: bold;font-size: large;text-align: center;}div.abstract {margin: 4ex;}div.abstract_item {font-size: small;padding-top: 1ex;}div.abstract_label {font-weight: bold;}