Nonperturbative Thermodynamic Geometry of Anyon Gas

TL;DR

This paper derives the nonperturbative thermodynamic curvature of a two-dimensional ideal anyon gas, revealing unique behaviors and phase characteristics across different thermodynamic parameters.

Contribution

It provides a nonperturbative analysis of the thermodynamic geometry of an anyon gas, extending previous perturbative work and exploring phase behaviors.

Findings

Identification of attractive and repulsive phases

Unique behaviors at various thermodynamic parameters

Complete thermodynamic phase characterization

Abstract

Following our earlier work on the Ruppeiner geometry of an anyon gas [B. Mirza and H. Mohammadzadeh, Phys. Rev. E {\bf 78,} 021127 (2008)], we will derive nonperturbative thermodynamic curvature of a two-dimensional ideal anyon gas. At different values of the thermodynamic parameter space, some unique and interesting behaviors of the anyon gas are explored. A complete picture of attractive and repulsive phases of the anyon gas is given.