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Bose-Einstein condensation, fluctuations, and recurrence relations in statistical mechanics

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dc.contributor.authorMullin, WJ
dc.contributor.authorFernandez, JP
dc.date2023-09-22T21:51:57.000
dc.date.accessioned2024-04-26T20:05:28Z
dc.date.available2024-04-26T20:05:28Z
dc.date.issued2003-01-01
dc.descriptionThis is the pre-published version which is collected from arXiv. The published version is at http://ajp.aapt.org/resource/1/ajpias/v71/i7/p661_s1
dc.description.abstractWe calculate certain features of Bose–Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain properties of the condensate that are accurately provided by the canonical ensemble. Calculations in the latter can be made tractable for finite systems by means of the recurrence relations. The ideal one-dimensional harmonic Bose gas provides a particularly simple and pedagogically useful model for which detailed results are easily derived. An analysis of the Bose system via permutation cycles yields insight into the physical meaning of the recurrence relations.
dc.description.pages661-669
dc.identifier.urihttps://hdl.handle.net/20.500.14394/40974
dc.relation.ispartofAMERICAN JOURNAL OF PHYSICS
dc.relation.urlhttps://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1039&context=physics_faculty_pubs&unstamped=1
dc.source.issue7
dc.source.issue71
dc.source.statuspublished
dc.subjectPhysics
dc.titleBose-Einstein condensation, fluctuations, and recurrence relations in statistical mechanics
dc.typearticle
dc.typearticle
digcom.contributor.authorisAuthorOfPublication|email:mullin@physics.umass.edu|Mullin, WJ
digcom.contributor.authorFernandez, JP
digcom.identifierphysics_faculty_pubs/40
digcom.identifier.contextkey1604598
digcom.identifier.submissionpathphysics_faculty_pubs/40
dspace.entity.typePublication
relation.isAuthorOfPublicationd425c4ec-8286-4d43-b023-e89b81dc1d78
relation.isAuthorOfPublication.latestForDiscoveryd425c4ec-8286-4d43-b023-e89b81dc1d78
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