Fractional superstatistics from a kinetic approach

Physical Review. E
Kamel Ourabah, Mouloud Tribeche

Abstract

Through a kinetic approach, in which temperature fluctuations are taken into account, we obtain generalized fractional statistics interpolating between Fermi-Dirac and Bose-Einstein statistics. The latter correspond to the superstatistical analogues of the Polychronakos and Haldane-Wu statistics. The virial coefficients corresponding to these statistics are worked out and compared to those of an ideal two-dimensional anyon gas. It is shown that the obtained statistics reproduce correctly the second and third virial coefficients of an anyon gas. On this basis, a link is established between the statistical parameter and the strength of fluctuations. A further generalization is suggested by allowing the statistical parameter to fluctuate. As a by-product, superstatistics of ewkons, introduced recently to deal with dark energy [Phys. Rev. E 94, 062115 (2016)2470-004510.1103/PhysRevE.94.062115], are also obtained within the same method.

References

Jun 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G Kaniadakis, P Quarati
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fabio Sattin, Luca Salasnich
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paolo AllegriniPaolo Paradisi
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gavin E Crooks
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kamel OurabahMouloud Tribeche

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