Series expansions for the directed-bond percolation problem

摘要: Series expansion methods have been used to estimate the critical probability, pc, and investigate percolation behaviour for directed-bond problem on most of usual lattices. High-density series expansions P(p) low-density S(p) were obtained acyclic directed square (SQ), triangular (T), SC, BCC FCC lattices, also cyclic lattice. The results suggest that models need not fall into same universality class as corresponding undirected models. lattices further different directings lattice may yield falling classes.