Effective dynamics of a magnetic vortex in a local potential

• Autores: Y. Strauss, I.M. Sigal
• Localización: Journal of nonlinear science, ISSN 0938-8974, Vol. 16, Nº 2, 2006, págs. 123-158
• Idioma: inglés
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• Resumen

  • We study a simplified mean field model of superconductor dynamics in the presence of impurities or for variable superconductor depth. This model is given by the gradient-flow version of the Ginzburg-Landau equations (Gorkov-Eliashberg equations) with an addition of a potential term. We find 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 close, for all times, to a magnetic vortex whose center obeys this law.