Yamamoto, K., Yamada, Y., Miyazima, S. (2011). THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL. International Journal of Mathematical Modelling & Computations, 1(4 (FALL)), 217-226.
K. Yamamoto; Y. Yamada; S. Miyazima. "THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL". International Journal of Mathematical Modelling & Computations, 1, 4 (FALL), 2011, 217-226.
Yamamoto, K., Yamada, Y., Miyazima, S. (2011). 'THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL', International Journal of Mathematical Modelling & Computations, 1(4 (FALL)), pp. 217-226.
Yamamoto, K., Yamada, Y., Miyazima, S. THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL. International Journal of Mathematical Modelling & Computations, 2011; 1(4 (FALL)): 217-226.
THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL
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
Abstract
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.
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