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 the existence of a phase transition in this model and provide its phase diagram.
Napiórkowski, M., Reuvers, R.J.P., Philip Solovej, J. (2018). The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 229(3), 1037-1090 [10.1007/s00205-018-1232-6].
The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram
Robin Reuvers;
2018-01-01
Abstract
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 the existence of a phase transition in this model and provide its phase diagram.File in questo prodotto:
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