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arXiv · 0805.2985

Critical surfaces for general bond percolation problems

Christian R. Scullard·Robert M. Ziff
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Abstract

We present a general method for predicting bond percolation thresholds and critical surfaces for a broad class of two-dimensional periodic lattices, reproducing many known exact results and providing excellent approximations for several unsolved lattices. For the checkerboard and inhomogeneous bow-tie lattices, the method yields predictions that agree with numerical measurements to more than six figures, and are possibly exact.

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Christian R. Scullard, Robert M. Ziff. 2008-05-20. Critical surfaces for general bond percolation problems. https://doi.org/10.1103/physrevlett.100.185701

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