A unified grand canonical description of the nonextensive thermostatistics of the quantum gases: Fractal and fractional approach

Issue		Eur. Phys. J. B Volume 14, Number 4, April 2000


Page(s)		705 - 711
DOI		http://dx.doi.org/10.1007/s100510051082

Eur. Phys. J. B 14, 705-711

A unified grand canonical description of the nonextensive thermostatistics of the quantum gases: Fractal and fractional approach

F. Büyükkiliç - D. Demirhan

Department of Physics, Faculty of Science, Ege University, 35100 Bornova- $\rm {\dot{I}}$ zmir, Turkey
fevzi@fenfak.ege.edu.tr

Received 17 September 1999

Abstract
In this paper, the particles of quantum gases, that is, bosons and fermions are regarded as g-ons which obey fractional exclusion statistics. With this point of departure the thermostatistical relations concerning the Bose and Fermi systems are unified under the g-on formulation where a fractal approach is adopted. The fractal inspired entropy, the partition function, distribution function, the thermodynamics potential and the total number of g-ons have been found for a grand canonical g-on system. It is shown that from the g-on formulation; by a suitable choice of the parameters of the nonextensivity q, the parameter of the fractional exclusion statistics g, nonextensive Tsallis $(q\neq 1)$ as well as extensive (q=1) standard thermostatistical relations of the Bose and Fermi systems are recovered.

PACS
05.20.-y Classical statistical mechanics - 03.65.-w Quantum mechanics

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