Combinatorial interpretation of Haldane-Wu fractional exclusion statistics

被引：5

作者：

Aringazin, AK ^{[1
]}

Mazhitov, MI ^{[1
]}

机构：

[1] Eurazian Natl Univ, Inst Basic Res, Dept Theoret Phys, Astana 473021, Kazakhstan

来源：

PHYSICAL REVIEW E | 2002年 / 66卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.66.026116

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：3

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