Berlin 2005 – wissenschaftliches Programm

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SYBM: Brownian Motion, Diffusion and Beyond

SYBM 1: SYBM

SYBM 1.1: Hauptvortrag

Dienstag, 8. März 2005, 10:30–11:00, TU HE101

Forms and scaling in diffusion-limited growth: lightning, crystals, rivers, and tumors — •Leonard M. Sander — University of Michigan

Unstable diffusion limited growth, i.e, the coalescence of random walkers, gives rise to intriguing shapes which often show scaling properties. A simple computer model, Diffusion-Limited Aggregation, can describe the overall features of these shapes. Applications of this sort of description to are remarkable in their variety. For example the similar scaling is evident in dielectric breakdown patterns, random crystallization, some river networks, and biological patterns such as the shape of tumors.