title: Noisy random resistor networks: renormalized field theory for the multifractal moments of the current distribution.
abstract: We study the multifractal moments of the current distribution in randomly diluted resistor networks near the percolation threshold. When an external current is applied between two terminals x and x(') of the network, the lth multifractal moment scales as M((l))(I)(x,x(')) approximately equal /x-x'/(psi(l)/nu), where nu is the correlation length exponent of the isotropic percolation universality class. By applying our concept of master operators [Europhys. Lett. 51, 539 (2000)] we calculate the family of multifractal exponents [psi(l)] for l>or=0 to two-loop order. We find that our result is in good agreement with numerical data for three dimensions.
authors: Institut für Theoretische Physik III, Heinrich-Heine-Universität, Düsseldorf, Germany.
authors: O
authors: O
authors: Stenull
authors: H K
authors: HK
authors: Janssen