Effective dynamics of a magnetic vortex in a local potential
type: Item
instance of: scholarly article
title: Effective dynamics of a magnetic vortex in a local potential
zbMATH Open document ID: 1106.78004
published in: Journal of Nonlinear Science
publication date: 2006-11-17T00:00:00Z
review text: In this study, the authors investigate a simplified mean field model of superconductor dynamics in the presence of impurities or for variable superconductor depth. The model is expressed by the gradient flow-version of the Ginzburg-Landau equations, which are the standard equations for a superconductor in the mean field approximation in the temporal gauge, in the presence of a local potential. They determine a dynamical law of motion of the vortex center, involving the potential, such that for datum close to a (static) magnetic vortex the solution is always close to a magnetic vortex whose center obeys this law.
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 78-02
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 82D55
zbMATH DE Number: 5073722
zbMATH Keywords: Ginzburg-Landau equations
zbMATH Keywords: superconductor dynamics
zbMATH Keywords: magnetic vortex
author: Y. Strauss
author: I. M. Sigal
reviewed by: Ömer Kavaklioglu
MaRDI profile type: Publication
full work available at URL: s00332-004-0680-3
OpenAlex ID: W2051170059
DOI: 10.1007/S00332-004-0680-3
description: scientific article; zbMATH DE number 5073722