DC conductive percolation of 2-D fractal random network

Tai-Fa Young and Huey-Jen Fang

Physica A: Statistical Mechanics and its Applications, 2000, vol. 281, issue 1, 276-281

Abstract: We report the numerical investigation of DC conductive percolation in a two-dimensional (2-D) random fractal resistor network. The network is configurated by covering a deterministic fractal of Sierpinski carpet and occupied with low- or high-value resistors. The percolation current is calculated straightforwardly and exactly by solving the linear equations of Kirchhoff's law. The DC percolation current below and above threshold pc exhibits a scaling behavior in four ranges. Due to the iteration of setting low R resistors in Sierpinski carpet, the percolation threshold probability pc shifts from 0.5 to lower value for higher level iterations. We observed that the fractal constructed in network changes the percolation property, and this results in a bifurcation curve of threshold. This effect gives an explanation for the usually observed natural phenomena, such as arc current or flicker noise. Our result reveals good agreement with experimental observation.

Keywords: Conductive percolation; Fractal; Sierpinski carpet; Bifurcation (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100000510
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:281:y:2000:i:1:p:276-281

DOI: 10.1016/S0378-4371(00)00051-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().