Un Criterio Suficiente de Estabilidad en Plasmas Magnetizados Axisimétricos Cuasi-estáticos

Abstract

In this paper we develope a sufficient condition of stability, applicable to quasi- static, ideally conductive, inviscid plasmas, frozen to general magnetic fields. We develop the criterion in spherical coordinates using a principle of hydromagnetic energy, and we look for the regions that can remain in equilibrium in each particular magnetic configuration and against the development of the proposed perturbations. The magnetic configurations studied are those that can consistently support a flow in the dynamic case. The analysis we perform is local, that is, by finding the eigenvalues of a self  adjoint matrix that relates the components of the perturbation with the external magnetic field, we can determine the regions in which a perturbation can be developed, and for this reason the criterion allows to decide if a given region is unstable but not if that region it is stable.