Specific heat of the ideal gas obeying the generalized exclusion statistics

Takahiro Aoyama
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Takahiro Aoyama: Department of Physics, Hokkaido University, Sapporo, 060-0810 Japan

The European Physical Journal B: Condensed Matter and Complex Systems, 2001, vol. 20, issue 1, 123-131

Abstract: Abstract: 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 3d 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 (Fermi energy) is 0.290. The specific heat of 2d 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.

Keywords: PACS. 05.30.-d Quantum statistical mechanics – 05.70.-a Thermodynamics – 05.90.+m Other topics in statistical physics; thermodynamics; and nonlinear dynamical systems (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/BF01313922

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