Bond percolation on the square lattice: Anisotropic systems

Bond percolation on the square lattice in which horizontal and vertical bonds can have different occupation probabilities is studied within the context of annealed model solutions for the zero-temperature bond-diluted Ising ferromagnet. The percolation probabilities and pair-connectedness functions for this percolation are obtained in terms of the concentration of horizontal and vertical bonds in the system. Also, the critical behavior of these properties near the critical bond concentrations is determined.