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Percolation Theory of Phase Transitions in Spin Models

並列摘要


The phase transition in the spin model and the percolation transition in the lattice percolation model have many characteristics in common which have motivated researchers to explore whether the former is a percolation transition of a correlated percolation model. Previous attemps to draw such a connection have been either unsuccessful or unsatisfactory. This paper briefly reviews a new approach which not only solves the problem but also provides a new avenue to understand the behavior of phasetransitions in spin models.

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