69 research outputs found
Noisy random resistor networks: renormalized field theory for the multifractal moments of the current distribution
We study the multifractal moments of the current distribution in randomly
diluted resistor networks near the percolation treshold. When an external
current is applied between to terminals and of the network, the
th multifractal moment scales as , where is the correlation length exponent of
the isotropic percolation universality class. By applying our concept of master
operators [Europhys. Lett. {\bf 51}, 539 (2000)] we calculate the family of
multifractal exponents for to two-loop order. We find
that our result is in good agreement with numerical data for three dimensions.Comment: 30 pages, 6 figure
Der farbensinn und Formensinn der Biene.
"Sonderabdruck aus 'Zoologische jahrbĂŒcher'. Abt. fĂŒr allgemeine zoologie und physiologie. Hrsg. von prof. J. W. Spengel in Giessen. Bd. 35.""Literaturverzeichnis:" 174-179.Mode of access: Internet
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