Self-organized network of fractal-shaped components coupled through statistical interaction.
A dissipative dynamics is introduced to generate self-organized networks of interacting objects, which we call coupled-fractal networks. The growth model is constructed based on a growth hypothesis in which the growth rate of each object is a product of the probability of receiving source materials from faraway and the probability of receiving adhesives from other grown objects, where each object grows to be a random fractal if isolated, but connects with others if glued. The network is governed by the statistical interaction between fractal-shaped components, which can only be identified in a statistical manner over ensembles. This interaction is investigated using the degree of correlation between fractal-shaped components, enabling us to determine whether it is attractive or repulsive.
Ugajin
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Frontier Science Laboratories, Sony Corporation, 134, Godo-cho, Hodogaya-ku, Yokohama 240-0005, Japan. Ryuichi.Ugajin@jp.sony.com