Gross-Pitaevskii Model for Nonzero Temperature Bose-Einstein Condensates

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dc.creatorStaliunas, K.
dc.date2001-10-12
dc.date.accessioned2026-07-07T02:43:08Z
dc.date.available2026-07-07T02:43:08Z
dc.descriptionMomentum distributions and temporal power spectra of nonzero temperature Bose-Einstein condensates are calculated using a Gross-Pitaevskii model. The distributions are obtained for micro-canonical ensembles (conservative Gross-Pitaevskii equation) and for grand-canonical ensembles (Gross-Pitaevskii equation with fluctuations and dissipation terms). Use is made of an equivalence between statistics of the solutions of conservative Gross-Pitaevskii and dissipative complex Ginzburg-Landau equations. In all cases the occupation numbers of modes follow a k^(-2) dependence, which corresponds in the long wavelength limit (k->0) to Bose-Einstein distributions. The temporal power spectra are of f^(-a) form, where: a=2-D/2 with D the dimension of space.
dc.descriptionSubmitted to PRE
dc.identifierhttps://arxiv.org/abs/cond-mat/0110258
dc.identifierhttp://arxiv.org/abs/cond-mat/0110258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18377
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleGross-Pitaevskii Model for Nonzero Temperature Bose-Einstein Condensates
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