Intermittency in Turbulence: computing the scaling exponents in shell models

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dc.creatorBenzi, Roberto
dc.creatorBiferale, Luca
dc.creatorSbragaglia, Mauro
dc.creatorToschi, Federico
dc.date2003-07-03
dc.date.accessioned2026-07-07T05:34:50Z
dc.date.available2026-07-07T05:34:50Z
dc.descriptionWe discuss a stochastic closure for the equation of motion satisfied by multi-scale correlation functions in the framework of shell models of turbulence. We give a systematic procedure to calculate the anomalous scaling exponents of structure functions by using the exact constraints imposed by the equation of motion. We present an explicit calculation for fifth order scaling exponent at varying the free parameter entering in the non-linear term of the model. The same method applied to the case of shell models for Kraichnan passive scalar provides a connection between the concept of zero-modes and time-dependent cascade processes.
dc.description12 pages, 5 eps figures
dc.identifierhttps://arxiv.org/abs/nlin/0307008
dc.identifierhttp://arxiv.org/abs/nlin/0307008
dc.identifierPhysical Review E 68 4 (2003) 046304
dc.identifierdoi:10.1103/PhysRevE.68.046304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80522
dc.subjectChaotic Dynamics
dc.titleIntermittency in Turbulence: computing the scaling exponents in shell models
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