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Stochastic models of surface deposition and growth processes fall into two classes with different scaling properties of the surface fluctuations. The class to which a given model belongs is determined by the variation of the macroscopic growth velocity with surface inclination. A distinction is made between deposition and growth processes, and it is shown that the non-linearity of the surface evolution equation is due to different mechanisms in the two cases.
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Joachim Krug (1989) studied this question.
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