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Collective dynamics of quantized vortices in superfluidity and superconductivity
Virtualconference
Authors : Bao, Weizhu (Author of the conference)
CIRM (Publisher )
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)
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Bao_WEIZHU.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : 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)
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Bao_WEIZHU.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/04/2021 Conference Date : 23/03/2021 Subseries : Research talks arXiv category : Dynamical Systems ; Fluid Dynamics Mathematical Area(s) : Analysis and its Applications ; Numerical Analysis & Scientific Computing ; Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:37:15 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-23_Bao.mp4 
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Information on the Event
Event Title : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseEvent Organizers : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Event Year : 2021 Event URL : https://www.chairejeanmorlet.com/2355.html
Citation Data
DOI : 10.24350/CIRM.V.19733403Cite this video as: 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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Bibliography
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