Bose condensate inb interaction with excitations - a two-component space-dependent model close to equilibrium

2013/07/11 by Leif Arkeryd, Arkeryd, L., Anne Nouri +1
Physics and Astronomy · #82C10 #82C22 #82C40 #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Optical properties and cooling technologies in crystalline materials

paper · pdf · doi:10.48550/arxiv.1307.3012

openalex publication_date 2013/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, 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 H1-setting close to equilibrium.

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