Velocity Selection for Propagating Fronts in Superconductors
arXiv:cond-mat/9607023 · doi:10.1103/PhysRevLett.77.4442
Abstract
Using the time-dependent Ginzburg-Landau equations we study the propagation of planar fronts in superconductors, which would appear after a quench to zero applied magnetic field. Our numerical solutions show that the fronts propagate at a unique speed which is controlled by the amount of magnetic flux trapped in the front. For small flux the speed can be determined from the linear marginal stability hypothesis, while for large flux the speed may be calculated using matched asymptotic expansions. At a special point the order parameter and vector potential are dual, leading to an exact solution which is used as the starting point for a perturbative analysis.
4 pages, 2 figures; submitted to Phys. Rev. Letters
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- Topological transitions and freezing in XY models and Coulomb gases with quenched disorder: renormalization via traveling waves
- Breakdown of the standard Perturbation Theory and Moving Boundary Approximation for "Pulled" Fronts
- Crystallization of the ordered vortex phase in high temperature superconductors
- Nucleation and Growth of the Superconducting Phase in the Presence of a Current
- Superheated and Dissipative Ginzburg-Landau Superconductors
- Three basic issues concerning interface dynamics in nonequilibrium pattern formation