Influence of the size distribution of granules and of their attractive interaction on the percolation threshold in granulated alloys

A. B. Khanikaev*, A. B. Granovskii, J. P. Clerc

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    22 Citations (Scopus)

    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 L0) 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 L0/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 languageEnglish
    Pages (from-to)1611-1613
    Number of pages3
    JournalPhysics of the Solid State
    Volume44
    Issue number9
    DOIs
    Publication statusPublished - 1 Sep 2002

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