High temperature expansion, Virial coefficients and Exclusion statistics

Details High temperature expansion, Virial coefficients and Exclusion statistics High temperature expansion, Virial coefficients and Exclusion statistics

2009-08-20

arxiv.org/abs/0908.2977v3

Physics

Condensed Matter

Other Condensed Matter

15 pages, no figure, corrected typos

Scientific paper

We follow the generalisation of exclusion statistics to infinite dimensional Hilbert space as envisaged in Phys. Rev. Lett. {\bf{72}}, 3629, 1994. We reproduce the third virial coefficients at leading order for single species of anionic gas and 2nd mixed virial coefficients for multicomponent anionic gas. We argue that this particular method can be useful in determining definition of mutual exclusion statistics. We demonstrate this by taking high temperature expansion of two particle partition function of well known systems and show that it follows Haldane's definition of exclusion statistics. We also discuss equilibrium particle distributions at thermodynamic limit.

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