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arXiv · hep-th/9507119

Kinetic Approach to Fractional Exclusion Statistics

G. Kaniadakis·A. Lavagno·P. Quarati
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Abstract

We show that the kinetic approach to statistical mechanics permits an elegant and efficient treatment of fractional exclusion statistics. By using the exclusion-inclusion principle recently proposed [Phys. Rev. E49, 5103 (1994)] as a generalization of the Pauli exclusion principle, which is based on a proper definition of the transition probability between two states, we derive a variety of different statistical distributions interpolating between bosons and fermions. The Haldane exclusion principle and the Haldane-Wu fractional exclusion statistics are obtained in a natural way as particular cases. The thermodynamic properties of the statistical systems obeying the generalized exclusion-inclusion principle are discussed.

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G. Kaniadakis, A. Lavagno, P. Quarati. 1995-07-22. Kinetic Approach to Fractional Exclusion Statistics. https://doi.org/10.1016/0550-3213(96)00040-5

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