Sector boundary drift
Uniform (isotropic) growth: Equations for growth expansion on a sloped surface:
Sector boundaries drift on a sloped surfaces, as
Stochastic variations of height profile, cause random drift of the sector boundary:
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The generic scaling of fluctuations of the above equation is super-diffusive:
Stochastic fluctuations of the rough surface thus lead to random drift of the sector boundary, such that
