Ordering dynamics in type-II superconductors.
We use analytic and numerical methods to analyze the dynamics of vortices following the quench of a type-II superconductor under the application of an external magnetic field. In three dimensions, in the absence of a field, the spacing between vortices scales with time t with an exponent phi=0.414+/-0.01, in a thin sheet of a superconductor, the scaling exponent is phi=0.294+/-0.01. When an external magnetic field h is applied, the vortices are confined with respect to the length scale of the Abrikosov lattice, leading to a crossover between the power-law scaling length scale and the lattice length scale. From this we suggest a one-parameter scaling of r with h and r that is consistent with numerical data.
Guttenberg
Nicholas
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Department of Physics, University of Illinois at Urbana-Champaign, Loomis Laboratory, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.
Goldenfeld
Nigel
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