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arXiv · 1511.05935

The Bogoliubov free energy functional I. Existence of minimizers and phase diagram

Marcin Napiórkowski·Robin Reuvers·Jan Philip Solovej
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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 existence of a phase transition in this model and provide its phase diagram.

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Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej. 2018-02-21. The Bogoliubov free energy functional I. Existence of minimizers and phase diagram. https://doi.org/10.1007/s00205-018-1232-6

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