Scale-free nonlinear conservative cascades and their stationary spectra

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dc.creatorPushkin, Dmitri O.
dc.creatorAref, Hassan
dc.date2004-07-16
dc.date.accessioned2026-07-07T02:59:14Z
dc.date.available2026-07-07T02:59:14Z
dc.descriptionWe show that a variety of complex processes can be viewed from the unified standpoint of scale-free nonlinear conservative cascades. Examples include certain turbulence models, percolation, cluster coagulation (aggregation) and fragmentation, `coarse-grained' forest fire model of self-organized criticality, and scale-free network growth. We classify such cascades by the values of three indices, and show how power-law steady spectra may arise. The power-law exponent is proven to depend only on the values of the three indices by a simple algebraic formula.
dc.description10 pages, 1 table
dc.identifierhttps://arxiv.org/abs/cond-mat/0407421
dc.identifierhttp://arxiv.org/abs/cond-mat/0407421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24432
dc.subjectDisordered Systems and Neural Networks
dc.subjectOther Condensed Matter
dc.titleScale-free nonlinear conservative cascades and their stationary spectra
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