Cancellation exponent and multifractal structure in two-dimensional magnetohydrodynamics: direct numerical simulations and Lagrangian averaged modeling

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dc.creatorPietarila-Graham, Jonathan
dc.creatorMininni, Pablo D.
dc.creatorPouquet, Annick
dc.date2005-06-09
dc.date2005-08-24
dc.date.accessioned2026-07-07T07:36:06Z
dc.date.available2026-07-07T07:36:06Z
dc.descriptionWe present direct numerical simulations and Lagrangian averaged (also known as alpha-model) simulations of forced and free decaying magnetohydrodynamic turbulence in two dimensions. The statistics of sign cancellations of the current at small scales is studied using both the cancellation exponent and the fractal dimension of the structures. The alpha-model is found to have the same scaling behavior between positive and negative contributions as the direct numerical simulations. The alpha-model is also able to reproduce the time evolution of these quantities in free decaying turbulence. At large Reynolds numbers, an independence of the cancellation exponent with the Reynolds numbers is observed.
dc.descriptionFinite size box effects have been taken into account in the definition of the partition function. This has resulted in a more clear scaling in all figures. Several points are clarified in the text
dc.identifierhttps://arxiv.org/abs/physics/0506088
dc.identifierhttp://arxiv.org/abs/physics/0506088
dc.identifierPhys.Rev. E72 (2005) 045301
dc.identifierdoi:10.1103/PhysRevE.72.045301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120314
dc.subjectPlasma Physics
dc.subjectAstrophysics
dc.subjectFluid Dynamics
dc.titleCancellation exponent and multifractal structure in two-dimensional magnetohydrodynamics: direct numerical simulations and Lagrangian averaged modeling
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