Multifractal properties of resistor diode percolation
Abstract
Focusing on multifractal properties we investigate electric transport on random resistor diode networks at the phase transition between the non-percolating 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 \l \. We calculate the family \l \ to two-loop order in a diagrammatic perturbation calculation augmented by renormalization group methods.
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