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Home  >  Journal list  >  MATERIALS TRANSACTIONS  >  Vol.53  No.7 (2012)  >  pp.1301-1304

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Controlling the Percolation Threshold of Conductor-Insulator Composites in a 2D Triangular Lattice by Introducing Binary Size Distributions of Conductor Particles

Kazuhito Shida1), Ryoji Sahara1), Hiroshi Mizuseki1), Yoshiyuki Kawazoe1)
1) Institute for Materials Research, Tohoku University

When one attempts to modulate and control the characteristics of composite materials, the mathematical threshold of the percolation transition dictates the modulation limit. Using a series of computer simulations, we have been investigating the dependence of the percolation threshold on particle size distributions. However, one of the other factors that can deeply affect percolation behavior, the design of lattice, is always fixed to simple square or cubic lattices. This report presents the first calculation of a percolation threshold in a 2D triangular lattice with binary size distributions of conductor particles. Although a small quantitative difference was found, the results qualitatively matched to the results already reported for 2D square lattices, thus confirming our previous finding: the introduction of large conductor particles increases the percolation threshold in 2D.

thin film conductor, percolation model, critical phenomenon, granular material, particle size distributions

Received: January 30, 2012
Accepted: April 18, 2012 , Published online: June 25, 2012
Copyright © 2012 The Japan Institute of Metals



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