1
Setsunan University 17-8 Ikeda-Nakamachi, Neyagawa Osaka 572-8508 Japan Faculty of Engineering
2
Chubu 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.
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.
MLA
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.
HARVARD
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.
VANCOUVER
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.