Stenull O, Janssen H K
Institut für Theoretische Physik III, Heinrich-Heine-Universität, Düsseldorf, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3 Pt 2):036103. doi: 10.1103/PhysRevE.63.036103. Epub 2001 Feb 15.
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.
