Abstract
Abstract
Previous studies have found that the network conductivity of 2-dimensional disordered nanowire networks (DNNs) scaled linearly with the length-ratio of conducting-paths to all nanowires. To show the universality of this rule, the conducting behavior of a 2-dimensional site percolation problem is studied in this article with the assistance of a Monte Carlo based numerical simulation. It is observed that, as the existence probability of site increases in the 2-dimensional site percolated network, more conducting-paths are formed, and the network becomes more conductive. After correlating the site-percolated lattice to DNNs, the normalized network conductivity is observed to scale linearly with the length-ratio of conducting-paths to all bonds, which could be well described by the linear formula using a slope of 2 and an incept of 0.5. As a result, the length-ratio of conducting-paths could again serve as a basic topological parameter in describing the conducting behavior of 2-dimensional site percolation networks. Such universality enables the definition of an ‘effective path theory’, in which the normalized network conductivity scales linearly with the length-ratio of conducting-paths to all bonds.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Hunan Province
Subject
Surfaces, Coatings and Films,Acoustics and Ultrasonics,Condensed Matter Physics,Electronic, Optical and Magnetic Materials
Cited by
1 articles.
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