https://doi.org/10.1140/epjb/e2003-00261-9
Thermostatistics of the g-on gas
Department of Physics, Science Faculty, Ege University, 35100 Bornova, Izmir, Turkey
Corresponding author: a fevzi@sci.ege.edu.tr
Received:
26
March
2003
Published online:
22
September
2003
In this study, the particles of the quantum gases, namely bosons and
fermions are called g-ons by using the parameter of the fractional
exclusion statistics g, where 
. With this point of departure,
the distribution function of the g-on gas is obtained by the variational,
steepest descent and statistical methods. The distribution functions which
are found by means of these three methods are compared. It is shown that the
thermostatistical formulations of quantum gases can be unified. By suitable
choices of g, standard relations of statistical mechanics of the Bose and
Fermi systems are recovered.
PACS: 05.20.-y – Classical statistical mechanics / 03.65.-w – Quantum mechanics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
