Kinetic roughening with power-law waiting time distribution
We introduce a surface growth model where the elementary events are characterized by a waiting time distribution P(T). Exact relations to directed polymer statistics and to continuous time random walk problems are established. For P(T) - I/.’“ the behaviour is similar to that of the Zhang model where rare-event-dominated kinetic roughening occurs due to a power-law noise in the surface increments. A careful correction to scaling analysis of our numerical results in 1 + 1 dimensions indicates universality with the Zhang model for fixed values of p.
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