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 dmin 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 dmin for percolation, from d=1 to d=6.
ASJC Scopus subject areas
- Physics and Astronomy(all)