Damping of growth oscillations in molecular beam epitaxy: A renormalization group approach
The conserved Since-Gordon equation with nonconserved shot noise is used to model homoepitaxial crystal growth. With increasing coverage the renormalized pinning potential changes from strong to weak. This is interpreted as a transition from layer-by-layer to rough growth. The associated length and time scales are identified, and found to agree with recent scaling arguments. A heuristically postulated nonlinear term $\nabla^2(\nabla h)^2$ is created under renormalization.
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