Specific heat of the ideal gas obeying the generalized exclusion statistics
Department of Physics, Hokkaido University, Sapporo, 060-0810 Japan
Corresponding author: a firstname.lastname@example.org
Revised: 24 January 2001
Published online: 15 March 2001
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.
PACS: 05.30.-d – Quantum statistical mechanics / 05.70.-a – Thermodynamics / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001