Scaling laws in decaying helical hydromagnetic turbulence

dc.creatorChristensson, Mattias
dc.creatorHindmarsh, Mark
dc.creatorBrandenburg, Axel
dc.date2002-09-06
dc.date2005-06-24
dc.date.accessioned2026-07-07T02:05:00Z
dc.date.available2026-07-07T02:05:00Z
dc.descriptionWe study the evolution of growth and decay laws for the magnetic field coherence length xi, energy E_M and magnetic helicity H in freely decaying 3D MHD turbulence. We show that with certain assumptions, self-similarity of the magnetic power spectrum alone implies that xi~t^{1/2}. This in turn implies that magnetic helicity decays as H~t^{-2s}, where s=(xi_{diff}/xi_H)^2, in terms of xi_{diff}, the diffusion length scale, and xi_H, a length scale defined from the helicity power spectrum. The relative magnetic helicity remains constant, implying that the magnetic energy decays as E_M~t^{-1/2-2s}. The parameter s is inversely proportional to the magnetic Reynolds number Re_M, which is constant in the self-similar regime.
dc.description7 pages, 3 figures, accepted by Astron Nachr
dc.identifierhttps://arxiv.org/abs/astro-ph/0209119
dc.identifierhttp://arxiv.org/abs/astro-ph/0209119
dc.identifierAstron.Nachr. 326 (2005) 393-399
dc.identifierdoi:10.1002/asna.200510365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/4977
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectChaotic Dynamics
dc.titleScaling laws in decaying helical hydromagnetic turbulence
dc.typetext

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