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

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 - 2018/9/1

Y1 - 2018/9/1

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 the 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 the 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

SN - 0003-9527

VL - 229

SP - 1037

EP - 1090

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 3

ER -