Thermodynamic Geometry of Fractional Statistics

Details Thermodynamic Geometry of Fractional Statistics Thermodynamic Geometry of Fractional Statistics

2010-09-22

arxiv.org/abs/1009.4301v1

Phys.Rev.E82:031137,2010

Physics

Condensed Matter

Statistical Mechanics

29 pages, 12 figures

Scientific paper

10.1103/PhysRevE.82.031137

We extend our earlier study about the fractional exclusion statistics to higher dimensions in full physical range and in the non-relativistic and ultra-relativistic limits. Also, two other fractional statistics, namely Gentile and Polychronakos fractional statistics, will be considered and similarities and differences between these statistics will be explored. Thermodynamic geometry suggests that a two dimensional Haldane fractional exclusion gas is more stable than higher dimensional gases. Also, a complete picture of attractive and repulsive statistical interaction of fractional statistics is given. For a special kind of fractional statistics, by considering the singular points of thermodynamic curvature, we find a condensation for a non-pure bosonic system which is similar to the Bose-Einstein condensation and the phase transition temperature will be worked out.

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