New critical frontiers for the potts and percolation models.
نویسنده
چکیده
We obtain the critical threshold for a host of Potts and percolation models on lattices having a structure which permits a duality consideration. The consideration generalizes the recently obtained thresholds of Scullard and Ziff for bond and site percolation on the martini and related lattices to the Potts model and to other lattices.
منابع مشابه
Critical frontier of the Potts and percolation models on triangular-type and kagome-type lattices. II. Numerical analysis.
In the preceding paper, one of us (F. Y. Wu) considered the Potts model and bond and site percolation on two general classes of two-dimensional lattices, the triangular-type and kagome-type lattices, and obtained closed-form expressions for the critical frontier with applications to various lattice models. For the triangular-type lattices Wu's result is exact, and for the kagome-type lattices W...
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ورودعنوان ژورنال:
- Physical review letters
دوره 96 9 شماره
صفحات -
تاریخ انتشار 2006