Anisotropic Scaling in Depinning of a Flux Line

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 ${\zeta }_{\parallel }=1$, and relax with a dynamic exponent $z_{\parallel }\approx 4/3$; transverse fluctuations are suppressed (${\zeta }_{\perp }=1/2<{\zeta }_{\parallel }$), and relax more slowly, with $z_{\perp }=z_{\parallel }+1$. Anisotropy in the depinning threshold, or orientational dependence of force-force correlations, lead to new universality classes.

REVTEX 3.0, 12 pages + 2 postscript figures appended using uufiles, MIT-CMT-EK-94-2

References in corpus (2)

• Critical Dynamics of Contact Line Depinning
• Interface Depinning in a Disordered Medium - Numerical Results

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