Kinetic approach to fractional exclusion statistics Original Research Article

We show that the kinetic approach to statistical mechanics permits an efficient treatment of fractional exclusion statistics. By using the exclusion-inclusion principle recently proposed [Phys. Rev. E 49 (1994) 5103] as a generalization of the Pauli exclusion principle, 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.