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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Autores principales: Sraibman, L., Minotti, F.
Formato: JOUR
Materias:
MHD
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00358711_v456_n4_p3715_Sraibman
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spelling todo:paper_00358711_v456_n4_p3715_Sraibman2023-10-03T14:47:15Z Large-scale model of the axisymmetric kinematic dynamo Sraibman, L. Minotti, F. Dynamo Magnetic fields MHD Turbulence 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. © 2016 The Authors. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00358711_v456_n4_p3715_Sraibman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Dynamo
Magnetic fields
MHD
Turbulence
spellingShingle Dynamo
Magnetic fields
MHD
Turbulence
Sraibman, L.
Minotti, F.
Large-scale model of the axisymmetric kinematic dynamo
topic_facet Dynamo
Magnetic fields
MHD
Turbulence
description 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. © 2016 The Authors.
format JOUR
author Sraibman, L.
Minotti, F.
author_facet Sraibman, L.
Minotti, F.
author_sort Sraibman, L.
title Large-scale model of the axisymmetric kinematic dynamo
title_short Large-scale model of the axisymmetric kinematic dynamo
title_full Large-scale model of the axisymmetric kinematic dynamo
title_fullStr Large-scale model of the axisymmetric kinematic dynamo
title_full_unstemmed Large-scale model of the axisymmetric kinematic dynamo
title_sort large-scale model of the axisymmetric kinematic dynamo
url http://hdl.handle.net/20.500.12110/paper_00358711_v456_n4_p3715_Sraibman
work_keys_str_mv AT sraibmanl largescalemodeloftheaxisymmetrickinematicdynamo
AT minottif largescalemodeloftheaxisymmetrickinematicdynamo
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