English
Collective dynamics of quantized vortices in superfluidity and superconductivity
Virtualconference
Auteurs : Bao, Weizhu (Auteur de la Conférence)
CIRM (Editeur )
34A05 - Explicit solutions and reductions
35Q40 - PDEs in connection with quantum mechanics
65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Bao_WEIZHU.pdf
CIRM (Editeur )
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Résumé :
Quantized vortices have been experimentally observed in type-II superconductors, superfluids, nonlinear optics, etc. In this talk, I will review different mathematical equations for modeling quantized vortices in superfluidity and superconductivity, including the nonlinear Schrödinger/Gross-Pitaevskii equation, Ginzburg-Landau equation, nonlinear wave equation, etc. Asymptotic approximations on single quantized vortex state and the reduced dynamic laws for quantized vortex interaction are reviewed and solved approximately in several cases. Collective dynamics of quantized vortex interaction based on the reduced dynamic laws are presented. Extension to bounded domains with different boundary conditions are discussed.
Keywords : quantized vortex; superfluidity; superconductivity; reduced dynamical laws
Codes MSC : Keywords : quantized vortex; superfluidity; superconductivity; reduced dynamical laws
34A05 - Explicit solutions and reductions
35Q40 - PDEs in connection with quantum mechanics
65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Bao_WEIZHU.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 09/04/2021 Date de captation : 23/03/2021 Sous collection : Research talks arXiv category : Dynamical Systems ; Fluid Dynamics Domaine : Analysis and its Applications ; Numerical Analysis & Scientific Computing ; Dynamical Systems & ODE Format : MP4 (.mp4) - HD Durée : 00:37:15 Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-23_Bao.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseOrganisateurs de la rencontre : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Année de la rencontre : 2021 URL Congrès : https://www.chairejeanmorlet.com/2355.html
Données de citation
DOI : 10.24350/CIRM.V.19733403Citer cette vidéo: Bao, Weizhu (2021). Collective dynamics of quantized vortices in superfluidity and superconductivity. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19733403 URI : http://dx.doi.org/10.24350/CIRM.V.19733403 |
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Bibliographie
- JOHNSON, T. H., YUAN, Y., BAO, W., et al. Hubbard model for atomic impurities bound by the vortex lattice of a rotating bose-einstein condensate. Physical review letters, 2016, vol. 116, no 24, p. 240402. - https://doi.org/10.1103/PhysRevLett.116.240402
- CAI, Yongyong, YUAN, Yongjun, ROSENKRANZ, Matthias, et al. Vortex patterns and the critical rotational frequency in rotating dipolar Bose-Einstein condensates. Physical Review A, 2018, vol. 98, no 2, p. 023610. - https://doi.org/10.1103/PhysRevA.98.023610
