Sector boundary drift
Uniform (isotropic) growth: Equations for growth expansion on a sloped surface:
Sector boundaries drift on a sloped surfaces, as
Stochastic fluctuations in height profile of the rough surface thus lead to random drift of the sector boundary, such that
Variations of the height profile (hence slope) are due to the random additions, which are described by
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The generic scaling of fluctuations of the above equation is super-diffusive:
