Turbulent interfaces

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Abstract
It is argued that certain one-dimensional solid-on-solid models of epitaxial growth show intermittent height fluctuations which are analogous to the velocity fluctuations in turbulent fluids. As a consequence of an anomalous, local scaling regime characterized by a stretched exponential distribution of step sizes, the qth order height-difference correlation functions display spatial multiscaling. By constructing a model where these features are absent, the origin of the intermittent behavior is traced back to the tilt dependence of the local dynamics.