S ISOGAMI, M KATORI, M MATSUSHITA
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 63(8) 2919-2929, Aug, 1994
We studied competing directed percolation (CDP) to confirm the validity of Matsushita and Meakin's theory also for the case that an entire pattern is self-similar and not compact, while its individual clusters are self-affine. Critical values of the bond concentration p(c) and values of the various scaling exponents of CDP in 2 approximately 6 dimensions were estimated by simulations. The present result shows that Matsushita and Meakin's theory is valid for CDP in any dimension. It is also found that the estimated values of the scaling exponent of the cluster-size distribution tau are different from those of ordinary directed percolation.