Analysis of the Bogoliubov free energy functional a variational description of a weakly-interacting Bose gas
نویسنده
چکیده
The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation-invariant Bose gas at positive temperature. We prove the existence of minimizers in the case of repulsive interactions given by a sufficiently regular two-body potential. Furthermore, we prove existence of a phase transition in this model and provide its phase diagram.
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تاریخ انتشار 2016