Scaling, renormalization and statistical conservation laws in the Kraichnan model of turbulent advection

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dc.creatorKupiainen, Antti
dc.creatorMuratore-Ginanneschi, Paolo
dc.date2006-03-14
dc.date.accessioned2026-07-07T10:22:32Z
dc.date.available2026-07-07T10:22:32Z
dc.descriptionWe present a systematic way to compute the scaling exponents of the structure functions of the Kraichnan model of turbulent advection in a series of powers of $ξ$, adimensional coupling constant measuring the degree of roughness of the advecting velocity field. We also investigate the relation between standard and renormalization group improved perturbation theory. The aim is to shed light on the relation between renormalization group methods and the statistical conservation laws of the Kraichnan model, also known as zero modes.
dc.descriptionLatex (11pt) 43 pages, 22 figures (Feynman diagrams). The reader interested in the technical details of the calculations presented in the paper may want to visit: http://www.math.helsinki.fi/mathphys/paolo_files/passive_scalar/passcal.html
dc.identifierhttps://arxiv.org/abs/nlin/0603031
dc.identifierhttp://arxiv.org/abs/nlin/0603031
dc.identifierJ.Statist.Phys.126:669-724,2007
dc.identifierdoi:10.1007/s10955-006-9205-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175545
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleScaling, renormalization and statistical conservation laws in the Kraichnan model of turbulent advection
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