Critical surfaces for general bond percolation problems

Details Critical surfaces for general bond percolation problems Critical surfaces for general bond percolation problems

2008-05-20

arxiv.org/abs/0805.2985v1

Phys. Rev. Lett. 100, 185701 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevLett.100.185701

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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