Abstract
The authors extend the series expansion of Fisch and Harris (1978) for the resistive susceptibility chi R(p) by a further six terms on the square lattice. This leads to a more precise estimate of the corresponding exponent gamma R=3.65+or-0.02. They also obtain the exact relation chi R(p)=2E( tau mod F), where tau is the sum of the relaxation times for charge diffusion on the cluster containing the origin and the expectation value is subject to the condition that the latter is finite. A known scaling relation for the fracton dimension, Df, in terms of gamma R and the static exponents is derived without the usual reference to the infinite cluster. Using the estimate of gamma R they find Df=1.334+or-0.007, which is consistent with the AO conjecture Df=4/3. They also note that gamma R is the same for directed and undirected percolation to within the accuracy of the calculations.