EFFECT OF NOISE-REDUCTION METHODS IN THE FAMILY MODEL

We study the effect of noise-reduction methods in the Family model. Th e surface width oscillates up to time t(c), which depends on the noise reduction parameter m as t(c) similar to m(delta) where delta is the damping exponent. delta is found to be determined by the growth expone nt beta and the dynamic exponent z characterizing the kinetic rougheni ng phenomena. By measuring the surface currents and the damage spreadi ng distances, we find how the diffusion coefficient nu depends on m. A lso, two different noise-reduction methods are discussed.