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 | |
Status | Udgivet - 4 mar. 2018 |