Dynamics of Surface Roughening with Quenched Disorder

Details Dynamics of Surface Roughening with Quenched Disorder Dynamics of Surface Roughening with Quenched Disorder

1994-11-09

arxiv.org/abs/cond-mat/9411038v1

Physics

Condensed Matter

RevTex manuscript 3 pages + 6 figures (obtained upon request via email sth@iris.bu.edu)

Scientific paper

10.1103/PhysRevLett.74.4205

We study the dynamical exponent $z$ for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that $z$ for $(d+1)$ dimensions is equal to the exponent $d_{\rm min}$ characterizing the shortest path between two sites in an isotropic percolation cluster in $d$ dimensions. To test the argument, we perform simulations and calculate $z$ for DPD, and $d_{\rm min}$ for percolation, from $d = 1$ to $d = 6$.

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