On analytical formulas for the Virial coefficients

TL;DR

This paper derives analytical formulas, sum rules, and provides numerical values for Virial coefficients of the Fermi gas, aiding understanding in statistical physics and phase transition studies.

Contribution

It introduces new relations, sum rules, and explicit formulas for Virial coefficients, enhancing analytical tools in statistical physics.

Findings

Derived analytical formulas for Virial coefficients

Provided numerical values for specific coefficients

Established sum rules connecting coefficients

Abstract

In many fields of statistical physics, for instance in the study of the liquid-gas phase transition in finite nuclear matter, the Virial coefficients of the Fermi gas play a major role. In this note, we provide relations, sum rules, analytical formulas and numerical values for such coefficients.