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
Deviations from self-similarity in plane dla and the «infinite drift» scenario
Abstract
The behavior of very large clusters of diffusion-limited aggregation (DLA) was investigated to help discriminate between the two geometric scenarios recently described by Mandelbrot: finite transient and infinite drift. Using 50 DLA clusters of 1 million particles, we follow the increase during growth of the maximum radius of the clusters and of various relative moments. One can distinguish two regions: an inactive completely grown core and an active growing region. In the growing region, scale factors were defined the moments of the atoms distances from the original «seed». They do not cross-over to the behavior characteristic of self-similarity for finite sizes and support the novel «drift» scenario that postulate an infinite continuing «transient». The moment’s «misbehavior» may help understand the disagreement between previous estimates of the clusters’ fractal dimension. © 1995 IOP Publishing Ltd.