Nonextensive thermostatistic properties of a q-generalized Fermi system
CCAST (World Laboratory), P.O. Box 8730,
Beijing 100080, P.R. China and
Department of Physics, Xiamen University, Xiamen 361005, P.R.
Corresponding author: a email@example.com
Revised: 12 November 2004
Published online: 25 February 2005
Based on the generalized statistic distribution derived from the Tsallis' entropy that has been successfully used in complex systems with long-range interactions and/or long-duration memory, the thermostatistic properties of a q-generalized Fermi system are studied. The total number of particles, internal energy, and heat capacity at constant volume are calculated for two different cases of and , respectively, where q is an important parameter to evaluate the nonextensivity of the system. The thermostatistic characteristics of the system are discussed in detail. It is found from the results obtained here that the Fermi energy of such a system is independent of the parameter q and is equal to that of an original ideal Fermi system when , while other thermostatistic properties of the system depend closely on the parameter q. For example, when q<1, the chemical potential of the system in certain region of temperature may be larger than the Fermi energy; when q>1, some thermodynamic parameters of the system at low temperatures must be cut off.
PACS: 05.30.-d – Quantum statistical mechanics / 05.20.-y – Classical statistical mechanics / 05.70.-a – Thermodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005