Branch distribution in diffusion-limited aggregation: A maximum entropy approach
Branch distribution in diffusion-limited aggregation: A maximum entropy approach
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DOI：
10.1016/0378-4371(95)00371-1
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发表时间：
1996-02-15
影响因子：
3.3
通讯作者：
Wagensberg, J
中科院分区：
文献类型：
--
作者：
PastorSatorras, R;Wagensberg, J
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.
