Sector boundary drift


red ball The expansion velocity can be stochastic, and depend on the shape of the front (curvature and slope in a "gradient" expansion):

yellow ballThe generic scaling of fluctuations of the above equation is super-diffusive:

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

yellow ball Sector boundaries drift on a sloped surfaces, as

yellow ball Stochastic fluctuations of the rough surface thus lead to random drift of the sector boundary, such that