Bose Condensates in Interaction with Excitations: A Two-Component Space-Dependent Model Close to Equilibrium

Leif Arkeryd (1) , Anne Nouri (2)

1 Chalmers University of Technology [Göteborg]
2 I2M - Institut de Mathématiques de Marseille

The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature where Bose-Einstein condensation sets in. The model is of non-linear two-component type, consisting of a kinetic equation with periodic boundary conditions for the distribution function of a gas of excitations interacting with a Bose condensate, which is described by a Gross-Pitaevskii equation. Results on well-posedness and long time behaviour are proved in a Sobolev space setting close to equilibrium.

Mots clés: Low temperature kinetics; Bose condensate; two-component model; 0.7 T_c

Domaines: Equations aux dérivées partielles [math.AP]

Leif Arkeryd, Anne Nouri. Bose Condensates in Interaction with Excitations: A Two-Component Space-Dependent Model Close to Equilibrium. Journal of Statistical Physics, 2015, 160, pp.209-238. ⟨10.1007/s10955-015-1229-6⟩. ⟨hal-01261232⟩