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.
Department of Geophysical Sciences, University of Chicago, Chicago, Illinois 60637, USA. scullard@uchicago.edu
Christian R
CR
Scullard
Robert M
RM
Ziff