Large scale instabilities in two-dimensional magnetohydrodynamics

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dc.creatorBoffetta, G.
dc.creatorCelani, A.
dc.creatorPrandi, R.
dc.date1998-10-21
dc.date.accessioned2026-07-07T02:35:33Z
dc.date.available2026-07-07T02:35:33Z
dc.descriptionThe stability of a sheared magnetic field is analyzed in two-dimensional magnetohydrodynamics with resistive and viscous dissipation. Using a multiple-scale analysis, it is shown that at large enough Reynolds numbers the basic state describing a motionless fluid and a layered magnetic field, becomes unstable with respect to large scale perturbations. The exact expressions for eddy-viscosity and eddy-resistivity are derived in the nearby of the critical point where the instability sets in. In this marginally unstable case the nonlinear phase of perturbation growth obeys to a Cahn-Hilliard-like dynamics characterized by coalescence of magnetic islands leading to a final new equilibrium state. High resolution numerical simulations confirm quantitatively the predictions of multiscale analysis.
dc.description6 pages RevTeX, 6 PostScript figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9810026
dc.identifierhttp://arxiv.org/abs/chao-dyn/9810026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15651
dc.subjectChaotic Dynamics
dc.titleLarge scale instabilities in two-dimensional magnetohydrodynamics
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