Quantum Statistical Mechanics of Ideal Gas Obeying Fractional Exclusion Statistics: A Systematic Study

TL;DR

This paper systematically explores the thermodynamic properties of an ideal gas obeying fractional exclusion statistics across various dimensions, revealing new insights into its pressure, energy, and equation of state.

Contribution

It provides a comprehensive analysis of fractional exclusion statistics in ideal gases, including novel results on thermodynamic relations and properties.

Findings

Derived pressure relations for fractional exclusion gases

Established the connection between pressure and internal energy

Presented new equations of state for fractional exclusion statistics

Abstract

The quantum statistical mechanics of an ideal gas with a general free-particle energy obeying fractional exclusion statistics are systematically investigated in arbitrary dimensions. The pressure relations, the relation between pressure and internal energy, the equation of state, as well as the thermodynamic properties are thoroughly discussed. Some novel results are obtained.