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

DOI10.1007/s00205-018-1232-6zbMath1404.82014arXiv1511.05935OpenAlexW3106038139WikidataQ59255673 ScholiaQ59255673MaRDI QIDQ1661664

Robin Reuvers, Jan Philip Solovej, Marcin Napiórkowski

Publication date: 16 August 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05935

zbMATH Keywords

minimizerssuperfluiditysuperconductivityBose-Einstein condensationrepulsive interactionexistence of phase transitionsBogoliubov free-energy functionalBogoliubov variational theorybosonic counterpart of the BCS (Bardeen-Cooper-Schrieffer theory)existence at \(T =0\)grand canonical phase diagramHartree-Fock theory for Fermi gasesinteracting Bose gasesunrestricted minimizers

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Statistical mechanics of superfluids (82D50) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Integro-partial differential equations (35R09)

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