The Bogoliubov free energy functional I: Existence of minimizers and phase diagram
Research output: Contribution to journal › Journal article › Research › peer-review
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.
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 | |
Publication status | Published - 4 Mar 2018 |
Bibliographical note
Published version, 54 pages, 1 figure
- math-ph, math.MP
Research areas
Links
- https://arxiv.org/pdf/1511.05935v3.pdf
Accepted author manuscript
ID: 196855904