Nonuniversal critical exponents for transport in percolating systems with a distribution of bond strengths

Numerical simulations are used to examine the dependences of the percolation transport exponents on the distribution of bond strenghts g in two-dimensional models. We use the probability density function p(g)=g^α, a case that arises naturally in percolation of continuum systems. Our results are consistent with earlier predictions that for 0<{α}<1 the exponent t{} differs from its counterpart t in the standard discrete lattice percolation networks by (t{}-t){}{α}/(1-{α}), while for {α}<0, the exponents t{} and t are equal.