1995/08/11 by G. George Batrouni, G. G. Batrouni, Alex Hansen +1 · 4 citations
Mathematics · Physics and Astronomy · #Graph theory and applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physreve.53.2292
10 pages, latex, 8 figures in separate uuencoded file
arxiv created 1995/08/11 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the multifractal properties of the current distribution of the three-dimensional random resistor network at the percolation threshold. For lattices ranging in size from 83 to 803 we measure the second, fourth, and sixth moments of the current distribution, finding, e.g., that t/\ensuremathν=2.282(5), where t is the conductivity exponent and \ensuremathν is the correlation length exponent. \textcopyright 1996 The American Physical Society.