PMID: 11909182Mar 23, 2002Paper

Multifractal properties of resistor diode percolation

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

Abstract

Focusing on multifractal properties we investigate electric transport on random resistor diode networks at the phase transition between the nonpercolating and the directed percolating phase. Building on first principles such as symmetries and relevance we derive a field theoretic Hamiltonian. Based on this Hamiltonian we determine the multifractal moments of the current distribution that are governed by a family of critical exponents [psi(l)]. We calculate the family [psi(l)] to two-loop order in a diagrammatic perturbation calculation augmented by renormalization group methods.

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Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H K Janssen, O Stenull
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Stenull, H K Janssen
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O StenullK Oerding
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Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Stenull, H K Janssen
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Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Stenull, H K Janssen
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

Sep 8, 2019·Pharmaceutical Research·Renata Abreu-VillelaIsidoro Caraballo
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hans-Karl Janssen, Olaf Stenull
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

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