Dynamics of surface roughening with quenched disorder
MetadataShow full item record
First author draft
Citation (published version)S. Havlin, L.A.N. Amaral, S.V. Buldyrev, S.T. Harrington, H.E. Stanley. 1995. "Dynamics of surface roughening with quenched disorder." Physical Review Letters, Volume 74, Issue 21, pp. 4205 - 4208. https://doi.org/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 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 min for percolation, from d = 1 to d = 6.
Rights©1995 American Physical Society.