Discrete models for conserved growth equations

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Abstract
We introduce a unified discrete atomistic growth model which has dynamical critical exponents corresponding exactly to conserved continuum equations describing solid-on-solid kinetic growth including nonlinear terms. In our larger curvature model, where a particle is deposited on the larger curvature site, the surface width W, the structure factor, and the correlation function measurment are consistent with the results of a fourth-order linear diffusion equation. A simple generalization of the model which mimics the fourth-order nonlinear equations and the associated physical process are also discussed.

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