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Anisotropic Scaling in Depinning of a Flux Line

Deniz Ertas·Mehran Kardar
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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 $ζ_\parallel=1$, and relax with a dynamic exponent $z_\parallel\approx4/3$; transverse fluctuations are suppressed ($ζ_\perp=1/2<ζ_\parallel$), 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.

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Deniz Ertas, Mehran Kardar. 1994-06-02. Anisotropic Scaling in Depinning of a Flux Line. https://doi.org/10.1103/physrevlett.73.1703

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