Conductivity percolation on a square lattice with two different sizes of particles

Kazuhito Shida; Ryoji Sahara; M. N. Tripathi; Hiroshi Mizuseki; Yoshiyuki Kawazoe

doi:10.2320/matertrans.M2009202

Conductivity percolation on a square lattice with two different sizes of particles

Kazuhito Shida, Ryoji Sahara, M. N. Tripathi, Hiroshi Mizuseki, Yoshiyuki Kawazoe

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Electric conductance of percolation clusters is calculated by means of the random circuit approximation, under a binary distribution in the size of the conducting particles. Although we have already investigated the same size distribution model in terms of the percolation threshold, the electric transport conductance of this model is never reported before. The size distribution of conducting particles induces a clear difference in the ensemble of random circuit. However, the observed critical behavior and critical exponents are closely matched to those reported for monodisperse cases.

Original language	English
Pages (from-to)	2848-2851
Number of pages	4
Journal	Materials Transactions
Volume	50
Issue number	12
DOIs	https://doi.org/10.2320/matertrans.M2009202
Publication status	Published - 2009 Dec

Keywords

Critical phenomenon
Granular material
Percolation model
Thin film conductor

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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abstract = "Electric conductance of percolation clusters is calculated by means of the random circuit approximation, under a binary distribution in the size of the conducting particles. Although we have already investigated the same size distribution model in terms of the percolation threshold, the electric transport conductance of this model is never reported before. The size distribution of conducting particles induces a clear difference in the ensemble of random circuit. However, the observed critical behavior and critical exponents are closely matched to those reported for monodisperse cases.",

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AU - Shida, Kazuhito

AU - Sahara, Ryoji

AU - Tripathi, M. N.

AU - Mizuseki, Hiroshi

AU - Kawazoe, Yoshiyuki

PY - 2009/12

Y1 - 2009/12

N2 - Electric conductance of percolation clusters is calculated by means of the random circuit approximation, under a binary distribution in the size of the conducting particles. Although we have already investigated the same size distribution model in terms of the percolation threshold, the electric transport conductance of this model is never reported before. The size distribution of conducting particles induces a clear difference in the ensemble of random circuit. However, the observed critical behavior and critical exponents are closely matched to those reported for monodisperse cases.

AB - Electric conductance of percolation clusters is calculated by means of the random circuit approximation, under a binary distribution in the size of the conducting particles. Although we have already investigated the same size distribution model in terms of the percolation threshold, the electric transport conductance of this model is never reported before. The size distribution of conducting particles induces a clear difference in the ensemble of random circuit. However, the observed critical behavior and critical exponents are closely matched to those reported for monodisperse cases.

KW - Critical phenomenon

KW - Granular material

KW - Percolation model

KW - Thin film conductor

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Conductivity percolation on a square lattice with two different sizes of particles

Abstract

Keywords

ASJC Scopus subject areas

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