THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL

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  • K. Yamamoto*1,
  • Y. Yamada2,
  • S. Miyazima2,
  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

Revised: 13-04-2016

Accepted: 13-04-2016

Published in Issue 23-09-2011

How to Cite

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), 217-226. http://oiccpress.com/ijm2c/article/view/11053

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 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.
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