Anisotropic Scaling in Depinning of a Flux Line
Deniz Ertas, Mehran Kardar
Abstract
We study the depinning of a flux line by analytical and numerical methods applied to a phenomenological equation of motion. Transverse fluctuations do not influence the critical behavior of the longitudinal component, justifying ``planar approximations". In an isotropic medium, longitudinal fluctuations have a roughness exponent ζ=1, and relax with a dynamic exponent z≈4/3; transverse fluctuations are suppressed (ζ=1/2<ζ), and relax more slowly, with z=z+1. Anisotropy in the depinning threshold, or orientational dependence of force-force correlations, lead to new universality classes.
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