Critical surfaces for general bond percolation problems.
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.
Scullard
Christian R
CR
Department of Geophysical Sciences, University of Chicago, Chicago, Illinois 60637, USA. scullard@uchicago.edu
Ziff
Robert M
RM