Lack of self-affinity and anomalous roughening in growth processes
Lack of self-affinity and anomalous roughening in growth processes
We study anomalous scaling properties of growing interfaces in random media. We contrast analytical results of a variety of growth models involving subdiffusion, thermal noise, and quenched disorder with simulations. In these models the interface may be not self-affine and the standard scaling of Family-Vicsek fails. In our two-dimensional models, …