Scalin behavior of multifractal-moment distributions near criticality

Sample to sample fluctuations ofthe multifractal moments of percolating randomresistor networks are studied via Monte Carlo simulations. For systems of sire L, these fluctuations depend on ~hp, the deviation from the critical concentration, only through the scaled variable ~hpL~'~. At ~hp = 0, these fluctuations depend on h, the ratio of the good and bad conductances, only through hL*. This is consistent with a previously proposed scaling ansatz for the joint probability distribution of multifractal moments. In the ~hp # o direction, the relative fluctuations are largest when the bulk correlation length is of the order of L.