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

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

25 Citationer (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 existence of a phase transition in this model and provide its phase diagram.

Originalsprog	Engelsk
Tidsskrift	Archive for Rational Mechanics and Analysis
Vol/bind	229
Udgave nummer	3
Sider (fra-til)	1037–1090
Antal sider	54
ISSN	0003-9527
DOI	https://doi.org/10.1007/s00205-018-1232-6
Status	Udgivet - 1 sep. 2018

Bibliografisk note

Published version, 54 pages, 1 figure

Adgang til dokumentet

10.1007/s00205-018-1232-6

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

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Tjek tilgængelighed hos det Kgl. Bibliotek

Citationsformater

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