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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00358711_v456_n4_p3715_Sraibman |
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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 |
_version_ |
1807322337918320640 |