Monte Carlo Simulations of the Generalized Diffusion Limited Aggregation
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概要
- 論文の詳細を見る
Two-dimensional Monte Carlo simulations are performed for the generalized diffu-sion-limited aggregation (DLA) model which is equivalent to the dielectricbreakdown model proposed by Niemeyer et al. It is found that the simulated patternsare self-similar, and the fractal dimensions of these patterns agree well with thetheoretical formula, d,=gd';-l-t7(d. -1)}/{d.-l-7(d. -1)}, derived by Matsushita etat. , where d. is the spatial dimension, d. the fractal dimension of the random-walkertrajectory, and 77 an exponent contained in the local growth probability at theperimeter site. Further, our simulation results suggest that effect of lattice anisotropybecomes prominent when increasing the exponent r7.
- 社団法人日本物理学会の論文
- 1986-08-15
著者
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MATSUSHITA Mitsugu
Research Institute of Electrical Communication,Tohoku University
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Kondoh Hiroshi
Research Institute Electrical Communication Tohoku University
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KONDO Hiroshi
Research Institute of Education
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Matsushita Mitsugu
Research Institute Electrical Communication Tohoku University
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HAYAKAWA Yoshinori
Research Institute of Electrical Communication,Tohoku University
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Hayakawa Yoshinori
Research Institute Of Electrical Communication Tohoku University
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KONDO Hiroshi
Research Institute of Electrical Communication,Tohoku University
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