Sharp interface limit for two components Bose−Einstein condensates

DOI10.1051/cocv/2014040zbMath1319.35206arXiv1401.1727OpenAlexW2021720835MaRDI QIDQ5262288

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Publication date: 13 July 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1727

zbMATH Keywords

isoperimetric problemsBose-Einstein condensatesBV functions\(\varGamma\)-convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational problems in a geometric measure-theoretic setting (49Q20) Variational methods for elliptic systems (35J50) PDEs in connection with quantum mechanics (35Q40) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Variational principles of physics (49S05) Integro-partial differential equations (35R09)

Related Items (9)

Interfacial tension and wall energy of a Bose-Einstein condensate binary mixture: triple-parabola approximation ⋮ Domain walls in the coupled Gross-Pitaevskii equations with the harmonic potential ⋮ Interface layer of a two-component Bose–Einstein condensate ⋮ Symmetry and asymmetry of components for elliptic Gross-Pitaevskii system ⋮ Ground-state patterns and phase diagram of spin-1 Bose-Einstein condensates in uniform magnetic field ⋮ One dimensional phase transition problem modeling striped spin orbit coupled Bose-Einstein condensates ⋮ Vortex patterns and sheets in segregated two component Bose-Einstein condensates ⋮ Phase Segregation for Binary Mixtures of Bose--Einstein Condensates ⋮ From gradient theory of phase transition to a generalized minimal interface problem with a contact energy

Cites Work

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