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Comptes Rendus Physique
Volume 5, n° 1
pages 49-54 (janvier-février 2004)
Doi : 10.1016/j.crhy.2004.01.008
Thermodynamics of a dilute Bose gas with condensate

Sergio  Rica ab
aDepartamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Blanco Encalada 2008, Santiago, Chile 
bLaboratoire de physique statistique, l'École normale supérieure, 24, rue Lhomond, 75231 Paris cedex 05, France 

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The partition function of a dilute Bose gas with repulsive interaction, fixed number of particles and in the presence of a condensate is computed up to first order in the interactions. An equilibrium condition appears for the fraction of particles in the condensate and the chemical potential of the particles. We show that for a dilute gas the Bose-Einstein transition is not of second order. Moreover, the thermodynamical quantities obtained may look different from those in the literature, because the chemical potential enters in a nontrivial way in the quasi particle spectrum. To cite this article: S. Rica, C. R. Physique 5 (2004).

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La fonction de partition d'un gaz de Bose dilué avec des interactions répulsives à nombre de particules fixé en présence d'un condensat est calculée au premier ordre du paramètre d'interactions. Une condition d'équilibre apparaît pour la fraction de particules condensées et pour le potentiel chimique des particules. On montre que pour un gaz dilué la transition de Bose-Einstein n'est pas de second ordre. De plus, les quantités thermodynamiques qui apparaîssent dans cette approche sont différentes de celles présentes dans la littérature sur le sujet du fait d'une dépendance non triviale du potentiel chimique avec le spectre des quasiparticules. Pour citer cet article : S. Rica, C. R. Physique 5 (2004).

Mots clés  : Bose-Einstein condensation ; Bogoliubov theory ; Superfluidity ; Thermodynamics.

Mots clés  : Condensation de Bose-Einstein ; Theorie de Bogoliubov ; Superfluidité ; Thermodynamique.




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