Speaker
Description
Percolation on non-planar lattices, such as lattices with crossing bonds, are generally expected to be in the two-dimensional universality class of ordinary percolation, and indeed that is the case for the leading behavior. However, we have found that the corrections to scaling, as characterized by the exponent Omega, are different for the non-planar system. This might imply that the usual corrections exponent is zero here due to some symmetry of the system. For a non-planar system, we consider bond percolation on the square covering lattice, which is equivalent to site percolation on the bond covering lattice. We also can consider a multilayer square lattice as an example of a non-planar system. We discuss methods to determine the threshold and the corrections exponent accurately.
