Scaling Approach to Calculate Critical Exponents in Anomalous Surface Roughening

Abstract

We study surface growth models exhibiting anomalous scaling of the local surface fluctuations. An analytical approach to determine the local scaling exponents of continuum growth models is proposed. The method allows to predict when a particular growth model will have anomalous properties ($\alpha \ne {\alpha }_{loc}$) and to calculate the local exponents. Several continuum growth equations are examined as examples.

RevTeX, 4 pages, no figs. To appear in Phys. Rev. Lett

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