The thermal continuum in coronal loops - Instability criteria and the influence of perpendicular thermal conduction

Physics

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Coronal Loops, Magnetohydrodynamics, Thermal Conductivity, Thermal Instability, Eigenvalues, Perturbation Theory, Solar Prominences, Spatial Distribution, Wentzel-Kramer-Brillouin Method

Scientific paper

The present study investigates the linear MHD spectrum for cylindrical equilibrium models under typical coronal conditions. Nonideal effects are included and attention is focused on the thermal instability and the influence of perpendicular thermal conduction. It is shown that, when thermal conduction across magnetic field lines is neglected, the classic Alfven and slow continua are supplemented by a new thermal continuum. Unlike the Alfven continuum modes and the slow continuum modes, the thermal continuum modes exponentially grow or decay in time. It is shown that perpendicular thermal conduction has no significant influence on the thermal stability of the equilibrium, although individual modes may be strongly influenced. The corresponding eigenfunctions still have a nearly-singular behavior, but in addition they may contain a rapid spatial oscillation on a scale proportional to some power of the perpendicular thermal conduction coefficient.

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