A Diffusion-Limited Aggregation Model with a Fractional Brownian Motion
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概要
- 論文の詳細を見る
We put forward a diffusion-limited aggregation model with a fractional Brownianmotion. The trajectory of a moving particle is controlled by the midpoint displacement method. The effects of such a trajectory of the moving particle on the aggregation clusters are investigated in detail evaluating the fractal dimensiona[ity. The present result is compared with the earlier theoretical prediction by Honda et al. overd.= I -2, where d. is the fractal dimension of the trajectory. Consequently the frac-tal dimension of the clusters D was found to be well evaluated by the relation,D= {d'-l- (d. - 1)} / {<71- (d. - l)}, where d is the Euclidean dimension of the embed-ding space.diffusion-limited aggregation, fractal, fractional Brownian motion
- 社団法人日本物理学会の論文
- 1991-10-15
著者
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Nakagawa Masahiro
Deparment Of Electrical Engineering Faculty Of Engineering Nagaoka University Of Technology
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KOBAYASHI Koichiro
Department of Electrical Engineering,Faculty of Engineering,Nagaoka Univercity of Technology
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