Generalized magnetohydrostatic equilibria
نویسندگان
چکیده
منابع مشابه
Generalized Magnetohydrostatic Equilibria
This note shows the existence of a generalized class of magnetohydrostatic elliptic equilibria of a perfectly conducting fluid in systems with cylindrical topology for which the surfaces of constant pressure have an elliptic transverse cross section with the eccentricity given by an arbitrary function of the axial distance. Further, it is shown that a change in the parameters characterizing the...
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Properties of finite-beta stellarator equilibria are investigated which are obtained as fully three-dimensional finite-beta solutions of the magnetohydrostatic boundary value problem with the help of the code by Bauer, Betancourt, and Garabedian based on the energy method. In the case of slender 1 — 2 stellarator equilibria the displacement of the magnetic axis as well as its helical deformatio...
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We show that the atmospheric and magnetic height variations are coupled in all magnetohydrostatic (MHS) equilibria with gravity if any isolated weak evacuated flux tubes or hydrostatically connected non-force-free fields are present. In gas-dominated regimes, as in stellar photospheres, flux tubes expand with height to maintain pressure balance with the ambient giving a ‘magnetic canopy’ in the...
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We present three-dimensional solutions of the magnetohydrostatic equations in the co-rotating frame of reference outside a magnetized rigidly rotating cylinder. We make no symmetry assumption for the magnetic field, but to be able to make analytical progress we neglect outflows and specify a particular form for the current density. The magnetohydrostatic equations can then be reduced to a singl...
متن کاملA new method for calculating a special class of self-consistent three-dimensional magnetohydrostatic equilibria
A new mathematical formulation for calculating a special class of self-consistent three-dimensional magnetohydrostatic equilibria in Cartesian and spherical coordinates is presented. The method uses a representation of the magnetic field in terms of poloidal and toroidal field components which automatically guarantees the solenoidal character of the magnetic field. This representation is common...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1986
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/860901