Branch distribution in diffusion-limited aggregation: a maximum entropy approach
✍ Scribed by R. Pastor-Satorras; J. Wagensberg
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 794 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
A new approach to the branching structure of diffusion-limited aggregation (DLA) clusters is proposed, in which the stress is laid not on the (traditionally used) order of the branches, but on their mass. The branch distribution n (s, M) (to be defined) of DLA is computed and its properties are compared with those found in self-similar deterministic fractal sets. A power-law behavior is found in both cases. DLA also shows a striking crossover, which is independent of the cluster size. The Maximum Entropy formalism, a well-known method in statistical physics, is applied in order to derive the functional form of n(s, M). The fit is achieved by means of a constraint concerning the information in the ensemble of all DLA clusters. We believe this constraint is a preliminar hint towards a new conceptual framework for the study of fractal growth phenomena.