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A Unified Grand Canonical Description of The Nonextensive Thermostatistics of The Quantum Gases: Fractal and Fractional Approach



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 ≠ 1) as well as extensive (q=1) standard thermostatistical relations of the Bose and Fermi systems are recovered

Year: 2000
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