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Comptes Rendus Physique
Volume 13, n° 9-10
pages 954-965 (novembre 2012)
Doi : 10.1016/j.crhy.2012.10.006
Gross–Pitaevskii description of superfluid dynamics at finite temperature: A short review of recent results
Description Gross–Pitaevskii de la dynamique des superfluides à température finite : Une revue courte des résultats récents
 

Marc Brachet
Laboratoire de physique statistique de lʼÉcole normale supérieure, associé au CNRS et aux Universités Paris VI et VII, 24, rue Lhomond, 75231 Paris cedex 05, France 

Abstract

The Gross–Pitaevskii equation (GPE) describes the dynamics of superflows and Bose–Einstein Condensates (BEC) at very low temperature. When a truncation of Fourier modes is performed, the resulting truncated GPE (TGPE) can also describe the correct thermal behavior of a Bose gas, as long as all relevant modes are highly occupied [M.J. Davis, S.A. Morgan, K. Burnett, Simulations of Bose fields at finite temperature, Phys. Rev. Lett. 87 (16) (2001) 160402]. We review some of our groupʼs recent GPE- and TGPE-based numerical studies of superfluid dynamics and BEC stability. The relations with experiments are discussed.

The full text of this article is available in PDF format.
Résumé

Lʼéquation de Gross–Pitaevskii (GPE) décrit la dynamique des superfluides et les condensats de Bose–Einstein (BEC) à très basse température. Quand une troncature des modes de Fourier est effectuée, lʼéquation résultante tronquée (TGPE) peut également décrire le comportement thermique correct dʼun gaz de Bose, à condition que tous les modes concernés sont hautement occupés [M.J. Davis, S.A. Morgan, K. Burnett, Simulations of Bose fields at finite temperature, Phys. Rev. Lett. 87 (16) (2001) 160402]. Nous passons en revue quelques études numériques récentes faites par notre groupe, utilisant GPE et TGPE, de la dynamique des superfluides et de la stabilité des BEC. Les relations avec les expériences sont discutées.

The full text of this article is available in PDF format.

Keywords : Turbulence, Superfluidity, Counterflow

Mots-clés : Turbulence, Superfuidité, Contre-écoulement




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