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 $d_{\rm min}$ 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 $d = 6$. 
S. Havlin, L.A.N. Amaral, S.V. Buldyrev, S.T. Harrington, and H.E.   Stanley (Center for Polymer Studies and Dept. of Physic...