Fractal to non-fractal morphological transitions in stochastic growth processes

Abstract

"Stochastic growth processes give rise to diverse and intricate structures everywhere in nature, often referred to as fractals. In general, these complex structures reflect the non-trivial competition among the interactions that generate them. In particular, one of the most fundamental models to study these systems has been the paradigmatic Laplacian-growth model that exhibits a characteristic fractal to non-fractal morphological transition as the non-linear effects of its growth dynamics increase. "