Abstract

We propose a new Potts model, anisotropic bond-diluted Potts model on square lattice. The interactions along x and y directions in this model are generally unequal and the bond-occupied probabilities in two directions are also assumed to be different. Such a model is a general Potts model on the square lattice. By establishing the equivalence between anisotropic bond-diluted model and anisotropic regular model and making use of the exact critical relations of regular model, we obtain the critical conditions for anisotropic bond-diluted Potts models with ferromagnetic and antiferromagnetic interactions. Phase diagrams according to these conditions are presented numerically with q=1,2,3,4,5,6 (ferr. case) and q=1,1,5,2,2,5 (antiferr. case) and a discussion about these diagrams is carried out.

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