Velocity Selection for Propagating Fronts in Superconductors

Journal Article · Fri Nov 01 00:00:00 EST 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.4442· OSTI ID:397677

Di Bartolo, S J; Dorsey, A T ^[1]

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1. Department of Physics, University of Virginia, McCormick Road, Charlottesville, Virginia 22901 (United States)

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 {ital dual}, leading to an {ital exact} solution which is used as the starting point for a perturbative analysis. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 397677
• Journal Information: Physical Review Letters, Vol. 77, Issue 21; Other Information: PBD: Nov 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SUPERCONDUCTIVITY
GINZBURG-LANDAU THEORY
WAVE PROPAGATION
NUMERICAL SOLUTION
MAGNETIC FLUX
POTENTIALS
ORDER PARAMETERS
TRAPPING
PLANE WAVES