Stable Distributions in Stochastic Fragmentation

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dc.creatorKrapivsky, P. L.
dc.creatorBen-Naim, E.
dc.creatorGrosse, I.
dc.date2001-08-31
dc.date.accessioned2026-07-07T02:42:36Z
dc.date.available2026-07-07T02:42:36Z
dc.descriptionWe investigate a class of stochastic fragmentation processes involving stable and unstable fragments. We solve analytically for the fragment length density and find that a generic algebraic divergence characterizes its small-size tail. Furthermore, the entire range of acceptable values of decay exponent consistent with the length conservation can be realized. We show that the stochastic fragmentation process is non-self-averaging as moments exhibit significant sample-to-sample fluctuations. Additionally, we find that the distributions of the moments and of extremal characteristics possess an infinite set of progressively weaker singularities.
dc.description11 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0108547
dc.identifierhttp://arxiv.org/abs/cond-mat/0108547
dc.identifierJ. Phys. A 37, 2863 (2004)
dc.identifierdoi:10.1088/0305-4470/37/8/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18207
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleStable Distributions in Stochastic Fragmentation
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