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

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

The Bogoliubov free energy functional I : Existence of minimizers and phase diagram. / Napiórkowski, Marcin; Reuvers, Robin; Solovej, Jan Philip.

In: Archive for Rational Mechanics and Analysis, Vol. 229, No. 3, 04.03.2018, p. 1037–1090.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Napiórkowski, M, Reuvers, R & Solovej, JP 2018, 'The Bogoliubov free energy functional I: Existence of minimizers and phase diagram', Archive for Rational Mechanics and Analysis, vol. 229, no. 3, pp. 1037–1090. https://doi.org/10.1007/s00205-018-1232-6

APA

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

Vancouver

Napiórkowski M, Reuvers R, Solovej JP. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 2018 Mar 4;229(3):1037–1090. https://doi.org/10.1007/s00205-018-1232-6

Author

Napiórkowski, Marcin ; Reuvers, Robin ; Solovej, Jan Philip. / The Bogoliubov free energy functional I : Existence of minimizers and phase diagram. In: Archive for Rational Mechanics and Analysis. 2018 ; Vol. 229, No. 3. pp. 1037–1090.

Bibtex

@article{6abbc70a38e641e299fc54d796eb2caa,
title = "The Bogoliubov free energy functional I: Existence of minimizers and phase diagram",
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. ",
keywords = "math-ph, math.MP",
author = "Marcin Napi{\'o}rkowski and Robin Reuvers and Solovej, {Jan Philip}",
note = "Published version, 54 pages, 1 figure",
year = "2018",
month = mar,
day = "4",
doi = "10.1007/s00205-018-1232-6",
language = "English",
volume = "229",
pages = "1037–1090",
journal = "Archive for Rational Mechanics and Analysis",
issn = "0003-9527",
publisher = "Springer",
number = "3",

}

RIS

TY - JOUR

T1 - The Bogoliubov free energy functional I

T2 - Existence of minimizers and phase diagram

AU - Napiórkowski, Marcin

AU - Reuvers, Robin

AU - Solovej, Jan Philip

N1 - Published version, 54 pages, 1 figure

PY - 2018/3/4

Y1 - 2018/3/4

N2 - 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.

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

KW - math-ph

KW - math.MP

U2 - 10.1007/s00205-018-1232-6

DO - 10.1007/s00205-018-1232-6

M3 - Journal article

VL - 229

SP - 1037

EP - 1090

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

IS - 3

ER -

ID: 196855904