Abstract

Diffusion-controlled growth phenomena have recently attracted considerable attention1–11. Notable examples1–12 of pattern formation in diffusive systems include dendritic crystal growth, electrochemical deposition, viscous fingering and diffusion-limited aggregation (DLA). Roughly two different types of pattern morphologies are observed corresponding to isotropic and anisotropic growths12. Anisotropic growths are characterized by the existence of preferential directions of growth. The term anisotropy must be used with care however, since the anisotropy of growth of the pattern is not necessarily due to some intrinsic microscopic anisotropy in the physical properties of the system1–12 but can also result from some external fields or perturbations9–20.

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