Dependence of conductance on percolation backbone mass
Dependence of conductance on percolation backbone mass
We study $〈\ensuremath{\sigma}{(M}_{B},r)〉,$ the average conductance of the backbone, defined by two points separated by Euclidean distance r, of mass ${M}_{B}$ on two-dimensional percolation clusters at the percolation threshold. We find that with increasing ${M}_{B}$ and for fixed $r,〈\ensuremath{\sigma}{(M}_{B},r)〉$ asymptotically decreases to a constant, in contrast with the behavior of …