Abstract
We study in detail a recently proposed model of interface growth that admits an exact solution [T. J. Newman, Phys. Rev. E 49, R2525 (1994)]. In addition to explicitly calculating the previously reported results for the interface width, we investigate the role of the temporal cutoff. We find that an inverse power of this cutoff separates two different scaling regimes in time for (substrate) dimension d>2. We relate this result to the fixed point structure of a simplified version of the original model that closely resembles the Kardar-Parisi-Zhang equation, and demonstrate the existence of strong-coupling behavior in this model for intermediate times.
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