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

Marcin Napiórkowski; Robin Reuvers; Jan Philip Solovej

doi:10.1007/s00205-018-1232-6

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

Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej

Department of Mathematical Sciences

11 Citations (Scopus)

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.

Original language	English
Journal	Archive for Rational Mechanics and Analysis
Volume	229
Issue number	3
Pages (from-to)	1037–1090
Number of pages	54
ISSN	0003-9527
DOIs	https://doi.org/10.1007/s00205-018-1232-6
Publication status	Published - 1 Sept 2018

Keywords

math-ph
math.MP

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10.1007/s00205-018-1232-6

https://arxiv.org/pdf/1511.05935v3.pdf

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Napiórkowski, M., Reuvers, R., & Solovej, J. P. (2018). The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis, 229(3), 1037–1090. https://doi.org/10.1007/s00205-018-1232-6

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AU - Solovej, Jan Philip

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AB - 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.

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

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Keywords

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