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The Universality Class of Diffusion Limited Aggregation and Viscous Fingering

Joachim Mathiesen·Itamar Procaccia·Harry L. Swinney·Matthew Thrasher
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Abstract

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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Joachim Mathiesen, Itamar Procaccia, Harry L. Swinney, Matthew Thrasher. 2005-12-13. The Universality Class of Diffusion Limited Aggregation and Viscous Fingering. https://doi.org/10.1209/epl%2Fi2006-10246-x

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