Fractal Dimensionality of the Reversible Diffusion-Limited Aggregation : New Aspect of Equilibrium Patterns
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概要
- 論文の詳細を見る
We consider loopless clusters which are restructured repeatedly by diffusive par-ticles released from the cluster itself, being essentially in equilibrium. The resultingclusters are self-similar with fractal dimension d.. By means of the dimensionalanalysis we give d.=gd:-F-2(d. -1)}/{d.-F-2(d. -1)}, where d. and d. denote thedimensions of the trajectory of the diffusive particles and of the space in which thecluster is embedded, respectively. The agreement with the numerical result in the caseof d.=d.=2 obtained by Botet and Jullien is very good. We further make sure ourtheoretical prediction by simulating the limiting case of d.= 1 (rectilinear trajectory).These constitute a breakthrough that the structure of the cluster in equilibrium can depend on the particle motion d., which seems to be irrclcvant to pattern formation.
- 一般社団法人日本物理学会の論文
- 1988-04-15
著者
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Honda K
Shinshu Univ. Matsumoto
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Honda Katsuya
Department Of Applied Physics Faculty Of Engineering Nagoya University
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Matsushita Mitsugu
Department Of Physics
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Toyoki Hiroyasu
Physics Institute,Faculty of Education and Liberal Art,Yamanashi University
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TOYOKI Hiroyasu
Physics Institute, Faculty of Education and Liberal Arts Yamanashi University
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