Numerical methods for simulating Ginzburg-Landau vortices

Mo Mu; Yuefan Deng; Chung Chiang Chou

doi:10.1137/S1064827595295076

Numerical methods for simulating Ginzburg-Landau vortices

Mo Mu, Yuefan Deng, Chung Chiang Chou

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Numerical solution to the Ginzburg-Landau (GL) equation becomes infeasible as the GL parameter κ and the number of GL vortices increase to a physically interesting regime. It is in this regime that we focus our attention to design a simulated annealing approach for minimizing the associated renormalized energy to study the GL vortex configurations. This approach applied to a commonly used model produces vortex configurations which are of interest in recent studies.

Original language	English (US)
Pages (from-to)	1333-1339
Number of pages	7
Journal	SIAM Journal on Scientific Computing
Volume	19
Issue number	4
DOIs	https://doi.org/10.1137/S1064827595295076
State	Published - Jul 1 1998

Keywords

Ginzburg-Landau vortex
Numerical PDE solution
Renormalized energy
Simulated annealing

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1137/S1064827595295076

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abstract = "Numerical solution to the Ginzburg-Landau (GL) equation becomes infeasible as the GL parameter κ and the number of GL vortices increase to a physically interesting regime. It is in this regime that we focus our attention to design a simulated annealing approach for minimizing the associated renormalized energy to study the GL vortex configurations. This approach applied to a commonly used model produces vortex configurations which are of interest in recent studies.",

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AB - Numerical solution to the Ginzburg-Landau (GL) equation becomes infeasible as the GL parameter κ and the number of GL vortices increase to a physically interesting regime. It is in this regime that we focus our attention to design a simulated annealing approach for minimizing the associated renormalized energy to study the GL vortex configurations. This approach applied to a commonly used model produces vortex configurations which are of interest in recent studies.

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KW - Renormalized energy

KW - Simulated annealing

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Numerical methods for simulating Ginzburg-Landau vortices

Abstract

Keywords

ASJC Scopus subject areas

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