Combinatorial interpretation of Haldane-Wu fractional exclusion statistics

2002/02/16 by A. K. Aringazin, M. I. Mazhitov
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum and electron transport phenomena #Random Matrices and Applications #cond-mat

paper · pdf · doi:10.1103/physreve.66.026116

published as Phys. Rev. E 66, 026116 (2002) · 8 pages, 2 eps-figures

arxiv created 2002/02/16 · openalex publication_date 2002/08/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Assuming that the maximal allowed number of identical particles in a state is an integer parameter, q, we derive the statistical weight and analyze the associated equation that defines the statistical distribution. The derived distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases q=1 and q--> infinity (n(i)/q-->1), respectively. We show that the derived statistical weight provides a natural combinatorial interpretation of Haldane-Wu fractional exclusion statistics, and present exact solutions of the distribution equation.

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