THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL
محورهای موضوعی : فصلنامه ریاضی
K. Yamamoto
1
(Setsunan University 17-8 Ikeda-Nakamachi, Neyagawa Osaka 572-8508
Japan
Faculty of Engineering)
Y. Yamada
2
(Chubu University 1200 Matsumoto, Kasugai Aichi 487-8501
Japan
Department of Natural Science)
S. Miyazima
3
(Chubu University 1200 Matsumoto, Kasugai Aichi 487-8501
Japan
Department of Natural Science)
کلید واژه: Percolation problem, Scaling law, Kinetic growth model, Leath algorithm,
چکیده مقاله :
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 pcbased 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.
