Large-scale model of the axisymmetric kinematic dynamo

A formulation of a kinematic dynamo is presented, based on a previously derived self-consistent procedure for obtaining large-scale models for complex system of equations. The model has only a small number of parametrized variables: the small-scale magnetic diffusivity, the scale of the large-scale...

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Bibliographic Details
Published in:Monthly notices of the Royal Astronomical Society 2016-03, Vol.456 (4), p.3715-3719
Main Authors: Sraibman, L., Minotti, F.
Format: Article
Language:English
Subjects:
Astronomy
Dark energy
Density
Fluid mechanics
Forests
Mapping
Quasars
Red shift
Sky surveys (astronomy)
Three dimensional
Universe
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Summary:A formulation of a kinematic dynamo is presented, based on a previously derived self-consistent procedure for obtaining large-scale models for complex system of equations. The model has only a small number of parametrized variables: the small-scale magnetic diffusivity, the scale of the large-scale fields, and a factor in the explicit expression of the αφφ component of the α tensor. Explicit expressions of what corresponds to the other components of the α tensor and of the diffusivity tensor are derived in terms of the large-scale meridional flow and of the differential rotation law, without introducing additional parameters. A very simple simulation of a solar-like dynamo, employing the model without meridional flow shows reasonable magnetic field evolution, with a cycle duration of about 2/3 that of the Sun, shift of the magnetic field from mid-latitudes towards the equator, poleward migration of the radial field at high latitudes, and correct phase relation between radial and azimuthal components.
ISSN:0035-8711
1365-2966
DOI:10.1093/mnras/stv2943