Thermostatistics of the g-on gas
Department of Physics, Science Faculty, Ege University, 35100 Bornova, Izmir, Turkey
Corresponding author: a firstname.lastname@example.org
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