Volume 76, Number 2, October 2006
|Page(s)||257 - 263|
|Section||Condensed matter: structural, mechanical and thermal properties|
|Published online||06 September 2006|
The universality class of diffusion-limited aggregation and viscous fingering
Department of Physics, Norwegian University of Science and Technology 7491 Trondheim, Norway
2 The Department of Chemical Physics, The Weizmann Institute of Science Rehovot 76100, Israel
3 Center for Nonlinear Dynamics and Department of Physics University of Texas at Austin - Austin, TX 78712, USA
Accepted: 17 August 2006
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.
PACS: 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 05.45.Df – Fractals / 05.70.Fh – Phase transitions: general studies
© EDP Sciences, 2006
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