Effective Dynamics of a Magnetic Vortex in a Local Potential |
| |
Authors: | Y. Strauss I.M. Sigal |
| |
Affiliation: | (1) Department of Mathematics, University of Toronto, Toronto M5S 3G3, Canada;(2) Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel;(3) Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556-4618, USA |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|