Ruppeiner Geometry of Anyon Gas

Details Ruppeiner Geometry of Anyon Gas Ruppeiner Geometry of Anyon Gas

2008-08-02

arxiv.org/abs/0808.0241v1

Phys.Rev.E78:021127,2008

Physics

Condensed Matter

Statistical Mechanics

12 pages

Scientific paper

10.1103/PhysRevE.78.021127

We derive the thermodynamic curvature of a two dimensional ideal anyon gas of particles obeying fractional statistics. The statistical interactions of anyon gas can be attractive or repulsive. For attractive statistical interactions, thermodynamic curvature is positive and for repulsive statistical interactions, it is negative, which indicates a more stable anyon gas. There is a special case between the two where the thermodynamic curvature is zero. Small deviations from the classical limit will also be explored.

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