Gross–Pitaevskii description of superfluid dynamics at finite temperature: A short review of recent results

Marc Brachet

doi:10.1016/j.crhy.2012.10.006

Structures and statistics of fluid turbulence / Structures et statistiques de la turbulence des fluides

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 ¹

¹ 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

Comptes Rendus. Physique, Volume 13 (2012) no. 9-10, pp. 954-965.

Résumé
Abstract

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 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.

Publié le : 2012-11-01

DOI : 10.1016/j.crhy.2012.10.006

Keywords: Turbulence, Superfluidity, Counterflow
Mot clés : Turbulence, Superfuidité, Contre-écoulement

Affiliations des auteurs :

Marc Brachet ¹

¹ 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

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Marc Brachet. Gross–Pitaevskii description of superfluid dynamics at finite temperature: A short review of recent results. Comptes Rendus. Physique, Volume 13 (2012) no. 9-10, pp. 954-965. doi : 10.1016/j.crhy.2012.10.006. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2012.10.006/

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