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

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dc.contributor.authorBuyukkilic, F
dc.contributor.authorDemirhan, D
dc.date.accessioned2019-10-27T18:23:10Z
dc.date.available2019-10-27T18:23:10Z
dc.date.issued2000
dc.departmentEge Üniversitesien_US
dc.description.abstractIn 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 g, the parameter of the fractional exclusion statistics g, nonextensive Tsallis (q not equal 1) as well as extensive (q = 1) standard thermostatistical relations of the Bose and Fermi systems are recovered.en_US
dc.identifier.doi10.1007/s100510051082
dc.identifier.endpage711en_US
dc.identifier.issn1434-6028
dc.identifier.issn1434-6036
dc.identifier.issn1434-6028en_US
dc.identifier.issn1434-6036en_US
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage705en_US
dc.identifier.urihttps://doi.org/10.1007/s100510051082
dc.identifier.urihttps://hdl.handle.net/11454/36084
dc.identifier.volume14en_US
dc.identifier.wosWOS:000086918400015en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofEuropean Physical Journal Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleA unified grand canonical description of the nonextensive thermostatistics of the quantum gases: Fractal and fractional approachen_US
dc.typeArticleen_US

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