Anisotropic interface depinning: Numerical results

Publisher Website
Google Scholar
Abstract
We study numerically a stochastic differential equation describing an interface driven along the hard direction of an anisotropic random medium. The interface is subject to a homogeneous driving force, random pinning forces, and surface tension. In addition, a nonlinear term due to the anisotropy of the medium is included. The critical exponents characterizing the depinning transition are determined numerically for a one-dimensional interface. The results are the same, within errors, as those of the ‘‘directed percolation depinning’’ (DPD) model. We therefore expect that the critical exponents of the stochastic differential equation are exactly given by the exponents obtained by a mapping of the DPD model to directed percolation. We find that a moving interface near the depinning transition is not self-affine and shows a behavior similar to the DPD model. © 1996 The American Physical Society.
All Related Versions