# Gross-Pitaevskii Model for Nonzero Temperature Bose-Einstein Condensates

Source: [Gross-Pitaevskii Model for Nonzero Temperature Bose-Einstein Condensates](<https://www.sota2.com/research/paper/68fa1e3c7a2b558e293210a3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:26:46.684Z

Authors: K.Staliunas

Published: 2001-10-12T09:47:37.000Z

## Abstract

Momentum 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0110258>)

[PDF](<https://arxiv.org/pdf/cond-mat/0110258.pdf>)