In complete analogy with thermal critical phenomena, it is expected that anisotropic percolation is in the same universality class as the isotropic one. However the previous result, obtained from the closed form conventional cell real space renormalization group method on the square lattice, the isotropic fixed point is completely unstable is known. We examine this in the large cell limit by using a Monte Carlo renormalization group method and show that the scaling exponent associated with anisotropy is not relevant.
ONE-DIMENSIONAL PERCOLATION PROBLEM WITH FURTHER NEIGHBOUR BONDS——REAL-SPACE RENORMALIZATION GROUP METHOD