Dynamo Transition in Low-dimensional Models

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dc.creatorVerma, Mahendra K.
dc.creatorLessinnes, Thomas
dc.creatorCarati, Daniele
dc.creatorSarris, Ioannis
dc.creatorKumar, Krishna
dc.creatorSingh, Meenakshi
dc.date2008-01-17
dc.date.accessioned2026-07-07T12:09:14Z
dc.date.available2026-07-07T12:09:14Z
dc.descriptionTwo low-dimensional magnetohydrodynamic models containing three velocity and three magnetic modes are described. One of them (nonhelical model) has zero kinetic and current helicity, while the other model (helical) has nonzero kinetic and current helicity. The velocity modes are forced in both these models. These low-dimensional models exhibit a dynamo transition at a critical forcing amplitude that depends on the Prandtl number. In the nonhelical model, dynamo exists only for magnetic Prandtl number beyond 1, while the helical model exhibits dynamo for all magnetic Prandtl number. Although the model is far from reproducing all the possible features of dynamo mechanisms, its simplicity allows a very detailed study and the observed dynamo transition is shown to bear similarities with recent numerical and experimental results.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0801.2656
dc.identifierhttp://arxiv.org/abs/0801.2656
dc.identifierPhys. Rev. E, v76, 036409 (2008)
dc.identifierdoi:10.1103/PhysRevE.78.036409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209555
dc.subjectChaotic Dynamics
dc.subjectAstrophysics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPlasma Physics
dc.titleDynamo Transition in Low-dimensional Models
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