Gradient flow in the Ginzburg-Landau model of superconductivity
P. Mikula, M. E. Carrington, G. Kunstatter
DOI 10.1103/PhysRevB.94.184501 · Physical Review B
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Abstract
We present numerical studies of the dynamics of vortices in the Ginzburg-Landau model using equations derived from the gradient flow of the free energy. Our equations are equivalent to the time dependent Ginzburg-Landau equations. We have modeled the dynamics of multiple n-vortex configurations starting far from equilibrium. We find generically that there are two time scales for equilibration: a short time scale related to the formation time for a single n vortex, and a longer time scale that characterizes vortex-vortex interactions.
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