THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL

Authors

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.
 

Keywords