Specific heat of the ideal gas obeying the generalized exclusion statistics

Details Specific heat of the ideal gas obeying the generalized exclusion statistics Specific heat of the ideal gas obeying the generalized exclusion statistics

2000-05-20

arxiv.org/abs/cond-mat/0005336v2

Eur. Phys. J. B 20,123-131 (2001)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 9 figures, to be published in Eur. Phys. J. B, References and figures added, typos corrected, one section removed an

Scientific paper

We calculate the specific heat of the ideal gas obeying the generalized exclusion statistics (GES) in the continuum model and the tight binding model numerically. In the continuum model of 3-d space, the specific heat increases with statistical parameter at low temperature whereas it decreases with statistical parameter at high temperature. We find that the critical temperature normalized by $\mu_f$ (Fermi energy) is 0.290. The specific heat of 2-d space was known to be independent of $g$ in the continuum model, but it varies with $g$ drastically in the tight-binding model. From its unique behavior, identification of GES particles will be possible from the specific heat.

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