We use deposition models of kinetic roughening of a growing surface to introduce the concepts of universality and scaling and to analyze the qualitative and quantitative role of different parameters. In particular, we focus on two classes of models where the deposition is accompanied by a local relaxation process within a distance δ. The models are in the Edwards-Wilkinson universality class, but the role of δ is nontrivial.

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See the following for a further comment about up-down symmetry in deposition models.

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Recall that k is the deposition site and j is the incorporation site. In the downward funnelling model, the height of the interface decreases at each lattice site as |jk| is increased.

19.
There have also been attempts to derive the growth equation from a continuum approximation of the Langevin equations for the discrete model, therefore allowing one to obtain an analytical expression for the parameters ν and Γ for the Edwards-Wilkinson equation. However, this approach is more useful for relating atomistic processes to specific terms in the continuum equation rather than for obtaining reliable ν(δ) and Γ(δ) functions. See, for example,
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