About an alternative distribution function for fractional exclusion statistics

Details About an alternative distribution function for fractional exclusion statistics About an alternative distribution function for fractional exclusion statistics

2003-04-17

arxiv.org/abs/cond-mat/0304413v2

Nuovo Comento B, 06, 635(2003)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 eps figures, TeX. Nuovo Cimento B (2004), in press

Scientific paper

10.1393/ncb/i2003-10015-6

We show that it is possible to replace the actual implicit distribution function of the fractional exclusion statistics by an explicit one whose form does not change with the parameter $\alpha$. This alternative simpler distribution function given by a generalization of Pauli exclusion principle from the level of the maximal occupation number is not completely equivalent to the distributions obtained from the level of state number counting of the fractional exclusion particles. Our result shows that the two distributions are equivalent for weakly bosonized fermions ($\alpha>>0$) at not very high temperatures.

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