A fractional mathematical approach to the distribution functions of quantum gases: Cosmic Microwave Background Radiation problem is revisited

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dc.contributor.authorErtik, H.
dc.contributor.authorDemirhan, D.
dc.contributor.authorSirin, H.
dc.contributor.authorBuyukkilic, F.
dc.date.accessioned2019-10-27T21:20:02Z
dc.date.available2019-10-27T21:20:02Z
dc.date.issued2009
dc.departmentEge Üniversitesien_US
dc.description.abstractEfforts on the fundamentals of the nonextensive thermostatistical formulations of the realistic description of the physical systems have always been underway. In this context, the quantum systems of bosons and fermions are taken into consideration as g-ons. A new formalism of the unified distribution functions has been introduced using a fractional mathematical approach. With the purpose of verification of the theory, blackbody radiation problem has been investigated by making use of the generalized fractional Planck's distribution. In this context, the observed Cosmic Microwave Background Radiation (CMBR) energy density could be obtained exactly within nonextensive thermostatistical approach for the value alpha = 0.999983 of the order of the fractional derivative and for the blackbody temperature T = 2.72818 K. (C) 2009 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.physa.2009.07.028
dc.identifier.endpage4585en_US
dc.identifier.issn0378-4371
dc.identifier.issn0378-4371en_US
dc.identifier.issue21en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage4573en_US
dc.identifier.urihttps://doi.org/10.1016/j.physa.2009.07.028
dc.identifier.urihttps://hdl.handle.net/11454/44234
dc.identifier.volume388en_US
dc.identifier.wosWOS:000269753800005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofPhysica A-Statistical Mechanics and Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMittag-Leffler functionen_US
dc.subjectGeneralized distribution functionen_US
dc.subjectFractional distribution functionen_US
dc.subjectFractional derivativeen_US
dc.titleA fractional mathematical approach to the distribution functions of quantum gases: Cosmic Microwave Background Radiation problem is revisiteden_US
dc.typeArticleen_US

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