The Universality Class of Diffusion Limited Aggregation and Viscous Fingering

Details The Universality Class of Diffusion Limited Aggregation and Viscous Fingering The Universality Class of Diffusion Limited Aggregation and Viscous Fingering

2005-12-13

arxiv.org/abs/cond-mat/0512274v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 6 figures

Scientific paper

10.1209/epl/i2006-10246-x

We investigate whether fractal viscous fingering and diffusion limited aggregates are in the same scaling universality class. We bring together the largest available viscous fingering patterns and a novel technique for obtaining the conformal map from the unit circle to an arbitrary singly connected domain in two dimensions. These two Laplacian fractals appear different to the eye; in addition, viscous fingering is grown in parallel and the aggregates by a serial algorithm. Nevertheless, the data strongly indicate that these two fractal growth patterns are in the same universality class.

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