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Dynamics of Surface Roughening with Quenched Disorder
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 ${d}_{\mathrm{min}}$ characterizing the shortest path between two sites in an isotropic percolation cluster in …