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arXiv · 0808.0241

Ruppeiner Geometry of Anyon Gas

Behrouz Mirza·Hosein Mohammadzadeh
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Abstract

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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Behrouz Mirza, Hosein Mohammadzadeh. 2008-08-02. Ruppeiner Geometry of Anyon Gas. https://doi.org/10.1103/physreve.78.021127

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