Analytic and numerical analysis of some statistical features of fragmentation processes

M. Ghorbel

Statistics & Probability Letters, 2011, vol. 81, issue 12, 1953-1960

Abstract: In this work, we investigate the following inhomogeneous model of fragmentation with an exponential splitting probability: suppose that an initial particle having a mass x0>0 (large enough) is broken, with a size-dependent probability p(x0)≔1−e−x0, into b>1 pieces. With probability 1−p(x0), this fragment is left unchanged for ever. The process of fragmentation is repeated recursively for all pieces.

Keywords: Fragmentation; Inhomogeneous model (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1016/j.spl.2011.08.001

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