Dynamics of Growing Interfaces in Disordered Medium: The Effect of Lateral Growth

(Received 1 October 1994, received in final form 11 October 1994, accepted 18 October 1994)

Abstract
We study the model of a driven interface in a disordered medium including the KPZ-nonlinearity. The coupled functional renormalization group flow equations for the disorder correlator and the coupling constant associated with the KPZ-nonlinearity possess a strong coupling fixed-point for the interface dimensions d=1, 2. In d=1 we get the roughness exponent and the dynamical exponent in one-loop approximation respectively as and z=1.