|
ИСТИНА |
Войти в систему Регистрация |
ФНКЦ РР |
||
Derivation of the Basic Magnetohydrodynamic Dynamo Equations Obtained by Averaging the Vector Potential in a Time Short-Correlated Turbulence,статья
- Авторы: Allahverdiyev R.R., Yushkov E.V., Sokoloff D.D.
- Журнал: Geomagnetism and Aeronomy
- Том: 63
- Номер: 7
- Год издания: 2023
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Первая страница: 20
- Последняя страница: 29
- DOI: 10.1134/S0016793223070034
- Аннотация: The freezing of a magnetic field into a turbulent flow of a conducting fluid or plasma at high magneticReynolds numbers can lead to an exponential increase in magnetic energy due to the accumulatedhydrodynamic energy of the motion of the medium. This process is described by the magnetohydrodynamicdynamo theory and can be conventionally divided into two regimes, in the first of which the average magneticfield increases along with the energy, while in the second, only the energy increases while the average magneticfield remains equal to zero. These two regimes are called a “mean-field dynamo” and a “turbulentdynamo” and are described by the Steenbeck-Krause-Rädler and Kazantsev equations, respectively. Theseequations are a direct consequence of averaging the magnetic induction equation over a random velocityfield; the first moment is calculated in the first case, and the second moment of the magnetic field is calculatedin the second case. There are many methods of such averaging. However, in this paper, we derive bothdynamo models using the method of multiplicative integrals based on the assumption that the random velocityfield is short-correlated in time. The main result is that we demonstrate the convenience of averaging notthe magnetic field itself, but the vector potential, whose use greatly simplifies the mathematical apparatus ofthe derivation and, as a result, becomes very promising for generalizing standard models in the case of inhomogeneousand nonisotropic turbulence.
- Добавил в систему: Соколов Дмитрий Дмитриевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | GeoMag2307003Allakhverdiev.pdf | GeoMag2307003Allakhverdiev.pdf | 284,1 КБ | 17 ноября 2023 [EVYushkov] |