CURRENT DISTRIBUTION AND MOMENTS OF THE LOGARITHM OF THE CURRENTS IN PERCOLATING RESISTOR NETWORKS

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We reconsider the current distribution in percolating resistor networks. By comparing the analytic solution of the current distribution for a hierarchical model with the numerical data from a Monte Carlo simulation and exact enumerations, we propose a function to discribe the behavior of the current distribution of percolating resistor networks. In addition, we study the finite-size-dependent behavior of the moments of the logarithm of the currents. The q-th moment, mu(q), of log-currents exhibits unifractal behavior with respect to In L as mu(q) approximately B(q)(lnL)q for all q. However, it is found that the amplitude B(q) behaves as lnB(q) approximately qlnq for q>0 and approximately q for q<0 in the thermodynamic limit.
Publisher
KOREAN PHYSICAL SOC
Issue Date
1994-02
Language
English
Article Type
Article
Keywords

DIFFUSION-LIMITED AGGREGATION; NEGATIVE MOMENTS; STRANGE SETS; THRESHOLD; BACKBONE; BEHAVIOR; SPECTRUM; SYSTEMS; NOISE

Citation

JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.27, no.1, pp.80 - 85

ISSN
0374-4884
URI
http://hdl.handle.net/10203/66339
Appears in Collection
PH-Journal Papers(저널논문)
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