Scaling of Local Slopes, Conservation Laws and Anomalous Roughening in Surface Growth
Juan M. López, Mario Castro, Rafael Gallego
Abstract
We argue that symmetries and conservation laws greatly restrict the form of the terms entering the long wavelength description of growth models exhibiting anomalous roughening. This is exploited to show by dynamic renormalization group arguments that intrinsic anomalous roughening cannot occur in local growth models. However some conserved dynamics may display super-roughening if a given type of terms are present.
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