Kinetic Approach to Fractional Exclusion Statistics

Details Kinetic Approach to Fractional Exclusion Statistics Kinetic Approach to Fractional Exclusion Statistics

1995-07-22

arxiv.org/abs/hep-th/9507119v1

Nucl.Phys.B466:527-537,1996

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, REVTEX

Scientific paper

10.1016/0550-3213(96)00040-5

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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