Temporal regularities of changing magnetic field generation modes in the model of the αΩ-dynamo

Olga Sheremetyeva,Anna Godomskaya,A Dmitriev,N Salikhov,Z Rakhmonov,G Vodinchar

doi:10.1051/e3sconf/202019602030

Olga Sheremetyeva, Anna Godomskaya + Show 4 more

Open Access

https://doi.org/10.1051/e3sconf/202019602030

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Abstract

In the dynamic model aΩ-dynamo the change in the intensity of the a-generator under the action of external forces is considered as a result of synchroniza-tion of higher modes of the velocity field and the magnetic field and is regulated by the function Z(t) with an exponential-power kernel J(t). Depending on the choice of the exponent and the scale factor of the kernel determine its temporal characteristics: delay time and waiting time. The question of changing the modes of magnetic field generation depending on the temporal characteristics of the function’s kernel is investigating. In the dynamic model aΩ-dynamo the change of the a-generator intensity under the action of external forces is considered as a result of synchronization of higher modes of the velocity field and the magnetic field and is regulated by the function Z(t) with an exponential-power kernel J(t). Depending on the choice of the exponent and the scale factor of the kernel J(t) determine its temporal characteristics: delay time and waiting time. The question of changing the modes of magnetic field generation depending on the temporal characteristics of the function’s kernel is investigating.

Highlights

The magnetic fields of planets, stars, galaxies undergo changes over time, which are both chaotic and periodic characters
This article is devoted to the numerical simulation dimensionless MHD-system within the accepted constraints of the αΩ-dynamo model subject to additive correction of the α-effect intensity by the integrated function with exponential-power kernel and to the study dynamics of changing generation modes of the magnetic field depending on its temporal characteristics
In the framework of the accepted low-mode model αΩ-dynamo, a dimensionless MHD-system with an additive correction of the α-effect intensity is considered under the assumption of axial symmetry of the velocity field and the magnetic field

Summary

Introduction

The magnetic fields of planets, stars, galaxies undergo changes over time, which are both chaotic and periodic characters. We use the low-mode model αΩ-dynamo [4] to study the modes of magnetic field generation, including those with a change of polarity without convection rearrangement. This model is applied to earth-type objects, which are characterized by a strong differential rotation of the object itself and the turbulent nature of the movement of the conducting medium [1, 2, 5]. This article is devoted to the numerical simulation dimensionless MHD-system within the accepted constraints of the αΩ-dynamo model subject to additive correction of the α-effect intensity by the integrated function with exponential-power kernel and to the study dynamics of changing generation modes of the magnetic field depending on its temporal characteristics

Formulation of the problem

The numerical simulation

Findings

Conclusions