About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
EPL
Paper
Crosscut analysis of large radial dla: Departures from self-similarity and lacunarity effects.
Abstract
In order to understand better the morphology and the asymptotic behavior in Diffusion-Limited Aggregation (DLA), we studied a large number of very large off-lattice circular clusters. We inspected both dynamical and geometric asymptotic properties via the scaling behavior of the transverse growth crosscuts, ie. the one-dimensional cuts by circles. The emerging picture corresponds qualitatively and quantitatively to the scenario of infinite drift that starts from the familiar five-armed shape for small sizes and proceeds through increasingly tight multi-armed shapes. The transverse crosscuts show quantitatively how the lacunarity of circular clusters becomes increasingly «compact» with size. Finally, we find the transverse-cut dimensions to be in agreement for clusters grown in circular and cylindrical geometry, suggesting that the question of universality is best addressed on the crosscut. © 1995 IOP Publishing Ltd.