On the limitations of magneto-frictional relaxation

التفاصيل البيبلوغرافية
العنوان: On the limitations of magneto-frictional relaxation
المؤلفون: Yeates, A. R.
سنة النشر: 2022
المجموعة: Astrophysics
Physics (Other)
مصطلحات موضوعية: Astrophysics - Solar and Stellar Astrophysics, Physics - Plasma Physics, Physics - Space Physics
الوصف: The magneto-frictional method is used in solar physics to compute both static and quasi-static models of the Sun's coronal magnetic field. Here, we examine how accurately magneto-friction (without fluid pressure) is able to predict the relaxed state in a one-dimensional test case containing two magnetic null points. Firstly, we show that relaxation under the full ideal magnetohydrodynamic equations in the presence of nulls leads necessarily to a non-force-free state, which could not be reached exactly by magneto-friction. Secondly, the magneto-frictional solutions are shown to lead to breakdown of magnetic flux conservation, whether or not the friction coefficient is scaled with magnetic field strength. When this coefficient is constant, flux is initially conserved, but only until discontinuous current sheets form at the null points. In the ensuing weak solution, we show that magnetic flux is dissipated at these current sheets. The breakdown of flux conservation does not occur for an alternative viscous relaxation scheme.
Comment: 15 pages, 7 figures. This article has been accepted for (open access) publication in Geophysical & Astrophysical Fluid Dynamics, published by Taylor & Francis
نوع الوثيقة: Working Paper
DOI: 10.1080/03091929.2021.2021197
URL الوصول: http://arxiv.org/abs/2201.07485
رقم الأكسشن: edsarx.2201.07485
قاعدة البيانات: arXiv
الوصف
DOI:10.1080/03091929.2021.2021197