The continuous spectrum of an axisymmetric equilibrium with a mixed poloidal and toroidal magnetic field with gravity included

Details The continuous spectrum of an axisymmetric equilibrium with a mixed poloidal and toroidal magnetic field with gravity included The continuous spectrum of an axisymmetric equilibrium with a mixed poloidal and toroidal magnetic field with gravity included

Nov 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984esasp.220..201p&link_type=abstract

In ESA The Hydromagnetics of the Sun p 201-202 (SEE N85-25091 14-92)

Computer Science

Continuous Spectra, Lagrangian Equilibrium Points, Magnetic Field Configurations, Poloidal Flux, Toroidal Plasmas, Continuums, Differential Equations, Eigenvalues, Magnetohydrodynamics, Variational Principles

Scientific paper

The continuous spectrum of a static, axisymmetric self-gravitating equilibrium with a mixed poloidal and toroidal magnetic field is given by an eigenvalue problem of two coupled ordinary second-order differential equations. The solutions have motions in the magnetic surfaces that are not polarized purely perpendicular and purely parallel to the magnetic field lines and show mixed properties. This coupling of the classical Alfven and cusp continuum is due to the toroidal magnetic field component and even persists in the incompressible limit. A variational expression was derived for the continuum frequencies and it is shown that the continuum frequencies can be negative. The stability depends on the distributions of density and pressure in the magnetic surfaces.

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