Multifractal properties of resistor diode percolation

Details Multifractal properties of resistor diode percolation Multifractal properties of resistor diode percolation

2001-10-26

arxiv.org/abs/cond-mat/0110560v1

Phys. Rev. E 65, 036124 (2002)

Physics

Condensed Matter

Statistical Mechanics

21 pages, 5 figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.036124

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 $\{\psi_l \}$. We calculate the family $\{\psi_l \}$ to two-loop order in a diagrammatic perturbation calculation augmented by renormalization group methods.

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