Sector boundary drift
The expansion velocity can be stochastic, and depend on the shape of the front (curvature and slope in a "gradient" expansion):
The generic scaling of fluctuations of the above equation is super-diffusive:

Uniform (isotropic) growth: the coalescence rate is obtained by method of images as

Sector boundaries drift on a sloped surfaces, as
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Stochastic fluctuations of the rough surface thus lead to random drift of the sector boundary, such that
