Three-dimensional solutions of the magnetohydrostatic equations: Rigidly rotating magnetized coronae in cylindrical geometry

N. Al-Salti*, T. Neukirch, R. Ryan

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

6 اقتباسات (Scopus)


Context. Solutions of the magnetohydrostatic (MHS) equations are very important for modelling astrophysical plasmas, such as the coronae of magnetized stars. Realistic models should be three-dimensional, i.e., should not have any spatial symmetries, but finding three-dimensional solutions of the MHS equations is a formidable task. Aims. We present a general theoretical framework for calculating three-dimensional MHS solutions outside massive rigidly rotating central bodies, together with example solutions. A possible future application is to model the closed field region of the coronae of fast-rotating stars. Methods. As a first step, we present in this paper the theory and solutions for the case of a massive rigidly rotating magnetized cylinder, but the theory can easily be extended to other geometries, We assume that the solutions are stationary in the co-rotating frame of reference. To simplify the MHS equations, we use a special form for the current density, which leads to a single linear partial differential equation for a pseudo-potential U. The magnetic field can be derived from U by differentiation. The plasma density, pressure, and temperature are also part of the solution. Results. We derive the fundamental equation for the pseudo-potential both in coordinate independent form and in cylindrical coordinates. We present numerical example solutions for the case of cylindrical coordinates.

اللغة الأصليةEnglish
رقم المقالA38
دوريةAstronomy and Astrophysics
مستوى الصوت514
رقم الإصدار3
المعرِّفات الرقمية للأشياء
حالة النشرPublished - مايو 7 2010
منشور خارجيًانعم

ASJC Scopus subject areas

  • ???subjectarea.asjc.3100.3103???
  • ???subjectarea.asjc.1900.1912???


أدرس بدقة موضوعات البحث “Three-dimensional solutions of the magnetohydrostatic equations: Rigidly rotating magnetized coronae in cylindrical geometry'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا