ISSN:
1572-9613
Keywords:
Percolation
;
multifractals
;
transport processes
;
distribution
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The current and logarithm-of-the-current distributionsn(∣i∣) andn(∣ln ∣i∣∣) on bond diluted two-dimensional random-resistor networks at the percolation threshold are studied by a modified transfer matrix method. Thek th moment (−9⩽k⩽8) of n(∣ln ∣i∣∣) i.e., 〈∣ln ∣i&∣∣k〉, is found to scale with the linear sizeL as (InL)β(k). The exponents β(k) are not inconsistent with the recent theoretical prediction β(k)=k, with deviations which may be attributed to severe finitesize effects. For small currents, ln n(y)≈−γγ, yielding information on the threshold below which the multifractality of $$\hat n$$ (∣i∣) breaks down. Our numerical results for the moments of the currents are consistent with other available results.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01049028
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