Mobility of singularities in the dissipative Ginzburg-Landau equation

Abstract

The velocity of a vortex solution of the real and complex dissipative Ginzburg-Landau equation in a weak external field is obtained by combining the method of matched asymptotic expansions with the numerical solution in the core region. The velocity of two interacting vortices as a function of their separation is estimated using the quasistationary approximation of the phase field.