PMID: 11308705Apr 20, 2001Paper

Noisy random resistor networks: renormalized field theory for the multifractal moments of the current distribution

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
O Stenull, H K Janssen

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.

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Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H K Janssen, O Stenull
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M BarthelemyH E Stanley
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·O StenullK Oerding
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H K JanssenK Oerding

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Citations

Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hans-Karl Janssen, Olaf Stenull
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hans-Karl Janssen, Olaf Stenull
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O StenullK Oerding
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Haye HinrichsenHans-Karl Janssen
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hans-Karl Janssen, Olaf Stenull
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hans-Karl Janssen, Olaf Stenull
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olaf Stenull
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olaf Stenull, Hans-Karl Janssen
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Stenull, H K Janssen
Nov 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C von FerberYu Holovatch
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olaf Stenull, Hans-Karl Janssen

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