TY - JOUR
T1 - Controlling the percolation threshold of conductor-insulator composites in a 2D triangular lattice by introducing binary size distributions of conductor particles
AU - Shida, Kazuhito
AU - Sahara, Ryoji
AU - Mizuseki, Hiroshi
AU - Kawazoe, Yoshiyuki
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Critical phenomenon
KW - Granular material
KW - Particle size distributions
KW - Percolation model
KW - Thin film conductor
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U2 - 10.2320/matertrans.M2012029
DO - 10.2320/matertrans.M2012029
M3 - Article
AN - SCOPUS:84866914798
VL - 53
SP - 1301
EP - 1304
JO - Materials Transactions
JF - Materials Transactions
SN - 1345-9678
IS - 7
ER -