## Abstract

Numerical simulation was applied to study the influence of the size distribution of granules and the interaction between them on the percolation threshold in granulated metal-insulator alloys. An alloy model was considered in which metal granules have two characteristic sizes, l and L (with L > l), and the size distribution of granules of greater size L having an average value of approximately L_{0}) is described by a normal distribution with a standard deviation d, by a step function with a halfwidth d, or by a delta function. A model with attraction between granules and mechanisms of trapping of an additional granule by an already developed cluster with a characteristic trapping range R was also considered. The percolation threshold significantly grows with the ratio L_{0}/l and with R for both two- and three-dimensional cases and tends to flattening at large L/l or R. The calculated results make it possible to explain the high percolation threshold observed for the majority of granulated alloys.

Original language | English |
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Pages (from-to) | 1611-1613 |

Number of pages | 3 |

Journal | Physics of the Solid State |

Volume | 44 |

Issue number | 9 |

DOIs | |

Publication status | Published - 1 Sep 2002 |