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

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Abstract

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.

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Authors and Affiliations

  1. Mathematical Sciences, 41296, Göteborg, Sweden

    Leif Arkeryd

  2. I2M 7373, CNRS, Centrale Marseille, Aix-Marseille University, 39 rue F. Joliot Curie, F13453, Marseille, France

    Anne Nouri

Authors
  1. Leif Arkeryd
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  2. Anne Nouri
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Correspondence to Anne Nouri.

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Arkeryd, L., Nouri, A. Bose Condensates in Interaction with Excitations: A Two-Component Space-Dependent Model Close to Equilibrium. J Stat Phys 160, 209–238 (2015). https://doi.org/10.1007/s10955-015-1229-6

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  • DOI: https://doi.org/10.1007/s10955-015-1229-6

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