Series analysis study of bond-site percolation on an anisotropic triangular lattice

Abstract

The authors derive low-density series expansions for the mean size of finite clusters on an anisotropic triangular lattice. By varying a bond density parameter this model includes site percolation on the square and triangular lattices and interpolates smoothly between the two. They identify the critical line and their results are consistent with the critical exponent gamma being constant along this line. © 1982 The Japan Society of Applied Physics.