https://doi.org/10.1140/epjb/e2005-00048-0
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.
China
Corresponding author: a jcchen@xmu.edu.cn
Received:
21
July
2004
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
