Memory effects in a nonequilibrium growth model

We study memory effects in a kinetic roughening model. For d=1, a different dynamic scaling is uncovered in the memory dominated phases; the Kardar-Parisi-Zhang scaling is restored in the absence of noise. d(c)=2 represents the critical dimension where memory is shown to smoothen the roughening front (alpha <= 0). Studies on a discrete atomistic model in the same universality class reconfirm the analytical results in the large time limit, while a different scaling behavior shows up for t < tau , with tau being the memory characteristic of the atomistic model. Results can be generalized for other nonconservative systems.