Please use this identifier to cite or link to this item:
https://doi.org/10.3934/dcdsb.2018096
DC Field | Value | |
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dc.title | Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law | |
dc.contributor.author | Xu, Z. | |
dc.contributor.author | Bao, W. | |
dc.contributor.author | Shi, S. | |
dc.date.accessioned | 2021-12-29T04:41:23Z | |
dc.date.available | 2021-12-29T04:41:23Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Xu, Z., Bao, W., Shi, S. (2018). Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law. Discrete and Continuous Dynamical Systems - Series B 23 (6) : 2299-2337. ScholarBank@NUS Repository. https://doi.org/10.3934/dcdsb.2018096 | |
dc.identifier.issn | 15313492 | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/212386 | |
dc.description.abstract | We study analytically and numerically stability and interaction patterns of quantized vortex lattices governed by the reduced dynamical law – a system of ordinary differential equations (ODEs) – in superconductivity. By deriving several non-autonomous first integrals of the ODEs, we obtain qualitatively dynamical properties of a cluster of quantized vortices, including global existence, finite time collision, equilibrium solution and invariant solution manifolds. For a vortex lattice with 3 vortices, we establish orbital stability when they have the same winding number and find different collision patterns when they have different winding numbers. In addition, under several special initial setups, we can obtain analytical solutions for the nonlinear ODEs. © 2018 American Institute of Mathematical Sciences. All Rights Reserved. | |
dc.publisher | American Institute of Mathematical Sciences | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Scopus OA2018 | |
dc.subject | Collision cluster | |
dc.subject | Finite time collision | |
dc.subject | Interaction pattern | |
dc.subject | Non-autonomous first integral | |
dc.subject | Orbital stability | |
dc.subject | Quantized vortex | |
dc.subject | Reduced dynamical law | |
dc.subject | Superconductivity | |
dc.subject | Winding number | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.3934/dcdsb.2018096 | |
dc.description.sourcetitle | Discrete and Continuous Dynamical Systems - Series B | |
dc.description.volume | 23 | |
dc.description.issue | 6 | |
dc.description.page | 2299-2337 | |
Appears in Collections: | Staff Publications Elements |
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