Thermodynamics of Bose-Einstein gas trapped in D-dimensional quartic potentials

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dc.contributor.authorKarabulut, Elife Oe
dc.contributor.authorKoyuncu, Mustafa
dc.contributor.authorTomak, Mehmet
dc.date.accessioned2020-03-26T18:05:26Z
dc.date.available2020-03-26T18:05:26Z
dc.date.issued2010
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractQuartic potentials play air important role in a broad range of fields in the Bose-Einstein Condensation (BEC) literature, from optical lattices to vortices and even to the quantum phase transitions. This also makes the study of thermodynamic properties of systems confined by these potentials interesting. For this purpose, the BEC of an ideal Bose system with a finite number of particles is considered in three and lower dimensions. A comprehensive thermodynamic analysis including the condensation temperature, chemical potential, condensate fraction, hear capacity, total energy, and entropy has been carried Out with a special emphasis oil low-dimensional case for which the standard semi-classical method is not applicable. As a result of our Calculations based Oil a quantum mechanical treatment we have shown that BEC is possible in a one-dimensional quartic potential, in contrast with the predictions of the standard method. Moreover it is also possible to corroborate Our results by using a modified semi-classical approximation that enables LIS to estimate the condensation temperatures for one-dimensional traps for all powers of the confining potential. We have found higher condensation temperatures than for the harmonic traps for all the three spatial configurations of the quartic trap. (C) 2009 Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipSelcuk UniversitySelcuk Universityen_US
dc.description.sponsorshipThis work is partially supported by the BAP office of Selcuk University.en_US
dc.identifier.doi10.1016/j.physa.2009.12.017en_US
dc.identifier.endpage1379en_US
dc.identifier.issn0378-4371en_US
dc.identifier.issn1873-2119en_US
dc.identifier.issue7en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1371en_US
dc.identifier.urihttps://dx.doi.org/10.1016/j.physa.2009.12.017
dc.identifier.urihttps://hdl.handle.net/20.500.12395/25427
dc.identifier.volume389en_US
dc.identifier.wosWOS:000274875300005en_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.selcuk20240510_oaigen_US
dc.subjectBose-Einstein condensationen_US
dc.subjectAnharmonic potentialsen_US
dc.subjectThermodynamical propertiesen_US
dc.subjectFinite number effectsen_US
dc.titleThermodynamics of Bose-Einstein gas trapped in D-dimensional quartic potentialsen_US
dc.typeArticleen_US

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