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Noisy random resistor networks: renormalized field theory for the multifractal moments of the current distribution | | Olaf Stenull
; Hans-Karl Janssen
; | | Date: |
7 Jul 2000 | | Journal: | Phys. Rev. E 63, 036103 (2001) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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 $x$ and $x^prime$ of the network, the $l$th multifractal moment scales as $M_I^{(l)} (x, x^prime) sim | x - x^prime |^{psi_l /
u}$, where $
u$ is the correlation length exponent of the isotropic percolation universality class. By applying our concept of master operators [Europhys. Lett. {f 51}, 539 (2000)] we calculate the family of multifractal exponents ${psi_l }$ for $l geq 0$ to two-loop order. We find that our result is in good agreement with numerical data for three dimensions. | | Source: | arXiv, cond-mat/0007129 | | Other source: | [GID 786078] pmid11308705 | | Services: | Forum | Review | PDF | Favorites | |
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