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THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL | ||
International Journal of Mathematical Modelling & Computations | ||
مقاله 1، دوره 1، 4 (FALL)، فروردین 2011، صفحه 217-226 اصل مقاله (291.98 K) | ||
نویسندگان | ||
K. Yamamoto* 1؛ Y. Yamada2؛ S. Miyazima2 | ||
1Setsunan University 17-8 Ikeda-Nakamachi, Neyagawa Osaka 572-8508 Japan Faculty of Engineering | ||
2Chubu University 1200 Matsumoto, Kasugai Aichi 487-8501 Japan Department of Natural Science | ||
چکیده | ||
The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scaling law α + 2β +γ = 2 has been held in the simulation result above the percolation threshold pc. | ||
کلیدواژهها | ||
Percolation problem؛ Scaling law؛ Kinetic growth model؛ Leath algorithm | ||
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