Explosive instabilities and detonation in magnetohydrodynamics.

Physics

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Magnetohydrodynamics: Instabilities

Scientific paper

Many plasma systems exhibit large-scale explosive events. Solar flares, magnetic substorms and tokamak disruptions are examples of large-scale explosive events. Since the rate at which the stability boundary is crossed is usually slow, systems rarely achieve a large linear growth rate. Thus explosive events almost always require nonlinear destabilization to achieve the fast time-scales that are observed. A new mechanism for explosive behavior is demonstrated in a nonlinear MHD model of the line tied Rayleigh-Taylor instability. In this mechanism the system crosses the instability threshold in a small region of space. The nonlinearity is destabilizing and broadening causing the linear instability to develop fingers and broaden into the linearly stable region. A front forms separating the disturbed and undisturbed regions. Because the nonlinearity is destabilizing the linearly stable region is, in fact, meta stable. The energy in the fingers is large enough to destabilize the meta-stable region - a process we call detonation.

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