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Driven Depinning in Anisotropic Media

L. -H. Tang·M. Kardar·D. Dhar
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Abstract

We show that the critical behavior of a driven interface, depinned from quenched random impurities, depends on the isotropy of the medium. In anisotropic media the interface is pinned by a bounding (conducting) surface characteristic of a model of mixed diodes and resistors. Different universality classes describe depinning along a hard and a generic direction. The exponents in the latter (tilted) case are highly anisotropic, and obtained exactly by a mapping to growing surfaces. Various scaling relations are proposed in the former case which explain a number of recent numerical observations.

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L. -H. Tang, M. Kardar, D. Dhar. 1994-09-01. Driven Depinning in Anisotropic Media. https://doi.org/10.1103/physrevlett.74.920

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