Multiple invaded consolidating materials

A. D. Araújo, J. S. Andrade, H. J. Herrmann
2004 Physical Review E  
We study a multiple invasion model to simulate corrosion or intrusion processes. Estimated values for the fractal dimension of the invaded region reveal that the critical exponents vary as function of the generation number G, i.e., with the number of times the invasion process takes place. The averaged mass M of the invaded region decreases with a power-law as a function of G, M∼ G^β, where the exponent β≈ 0.6. We also find that the fractal dimension of the invaded cluster changes from
more » ... ±0.002 to d_s=1.217±0.005. This result confirms that the multiple invasion process follows a continuous transition from one universality class (NTIP) to another (optimal path). In addition, we report extensive numerical simulations that indicate that the mass distribution of avalanches P(S,L) has a power-law behavior and we find that the exponent τ governing the power-law P(S,L)∼ S^-τ changes continuously as a function of the parameter G. We propose a scaling law for the mass distribution of avalanches for different number of generations G.
doi:10.1103/physreve.70.066150 pmid:15697477 fatcat:uybdho227nhwdmt77g3xd2eidq