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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2016
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00358711_v456_n4_p3715_Sraibman http://hdl.handle.net/20.500.12110/paper_00358711_v456_n4_p3715_Sraibman |
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paper:paper_00358711_v456_n4_p3715_Sraibman2023-06-08T15:01:41Z Large-scale model of the axisymmetric kinematic dynamo 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. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00358711_v456_n4_p3715_Sraibman 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 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. |
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 |
publishDate |
2016 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00358711_v456_n4_p3715_Sraibman http://hdl.handle.net/20.500.12110/paper_00358711_v456_n4_p3715_Sraibman |
_version_ |
1768546387864059904 |