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

Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

22 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.
OriginalsprogEngelsk
TidsskriftArchive for Rational Mechanics and Analysis
Vol/bind229
Udgave nummer3
Sider (fra-til)1037–1090
Antal sider54
ISSN0003-9527
DOI
StatusUdgivet - 4 mar. 2018

Bibliografisk note

Published version, 54 pages, 1 figure

Citationsformater