On Tentative Interpretation of Fragmentation by Percolation

Hiroaki Katsuragi, Shonosuke Ohta and Haruo Honjo

Department of Applied Physics, Faculty of Engineering, Kyushu University, Ropponmatsu, Fukuoka 810-8560, Japan

(Received November 15, 1997; Accepted April 8, 1998)

Keywords: Fragmentation, Power-Law, Percolation, Go-game model

Abstract. A simple model of fragmentation is studied by numerical simulations. We consider the bond-percolation model with simple cubic lattice, and assume that fragmentation process occurs stochastically. Mass distribution of fragments at critical probability shows power-law distribution. In D_E-dimensional system (D_E = 2 or 3), the scaling exponent is obtained as a large one (D D_E). The phenomena with such a large scaling exponent have been reported, however, have not been explained by the other numerical simulations.