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Main Authors: Kleeorin, N., Rogachevskii, I., Safiullin, N., Gershberg, R., Porshnev, S.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2308.08957
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author Kleeorin, N.
Rogachevskii, I.
Safiullin, N.
Gershberg, R.
Porshnev, S.
author_facet Kleeorin, N.
Rogachevskii, I.
Safiullin, N.
Gershberg, R.
Porshnev, S.
contents Our theoretical and numerical analysis have suggested that for low-mass main sequences stars (of the spectral classes from M5 to G0) rotating much faster than the Sun, the generated large-scale magnetic field is caused by the mean-field $α^2Ω$ dynamo, whereby the $α^2$ dynamo is modified by a weak differential rotation. Even for a weak differential rotation, the behaviour of the magnetic activity is changed drastically from aperiodic regime to non-linear oscillations and appearance of a chaotic behaviour with increase of the differential rotation. Periods of the magnetic cycles decrease with increase of the differential rotation, and they vary from tens to thousand years. This long-term behaviour of the magnetic cycles may be related to the characteristic time of the evolution of the magnetic helicity density of the small-scale field. The performed analysis is based on the mean-field simulations (MFS) of the $α^2Ω$ and $α^2$ dynamos and a developed non-linear theory of $α^2$ dynamo. The applied MFS model was calibrated using turbulent parameters typical for the solar convective zone.
format Preprint
id arxiv_https___arxiv_org_abs_2308_08957
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Magnetic fields of low-mass main sequences stars: Nonlinear dynamo theory and mean-field numerical simulations
Kleeorin, N.
Rogachevskii, I.
Safiullin, N.
Gershberg, R.
Porshnev, S.
Solar and Stellar Astrophysics
Our theoretical and numerical analysis have suggested that for low-mass main sequences stars (of the spectral classes from M5 to G0) rotating much faster than the Sun, the generated large-scale magnetic field is caused by the mean-field $α^2Ω$ dynamo, whereby the $α^2$ dynamo is modified by a weak differential rotation. Even for a weak differential rotation, the behaviour of the magnetic activity is changed drastically from aperiodic regime to non-linear oscillations and appearance of a chaotic behaviour with increase of the differential rotation. Periods of the magnetic cycles decrease with increase of the differential rotation, and they vary from tens to thousand years. This long-term behaviour of the magnetic cycles may be related to the characteristic time of the evolution of the magnetic helicity density of the small-scale field. The performed analysis is based on the mean-field simulations (MFS) of the $α^2Ω$ and $α^2$ dynamos and a developed non-linear theory of $α^2$ dynamo. The applied MFS model was calibrated using turbulent parameters typical for the solar convective zone.
title Magnetic fields of low-mass main sequences stars: Nonlinear dynamo theory and mean-field numerical simulations
topic Solar and Stellar Astrophysics
url https://arxiv.org/abs/2308.08957