Havlin, S.Amaral, Luis A. NunesBuldyrev, Sergey V.Harrington, Stephen T.Stanley, H.E.2020-03-262020-03-261995-05-22S. 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.74.42050031-9007https://hdl.handle.net/2144/39820We 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.p. 4205 - 4208.en-US©1995 American Physical Society.Science & technologyPhysical sciencesPhysics, multidisciplinaryPhysicsPorous-mediaPercolationInterfacesGrowthModelGeneral physicsArticle10.1103/PhysRevLett.74.420594811