Steady heat conduction in coronal loop unstable against plasma instability

Physics

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Conductive Heat Transfer, Coronal Loops, Electric Current, Electron Distribution, Magnetohydrodynamic Stability, Boundary Value Problems, Electron Energy, Fokker-Planck Equation, Magnetic Flux, Mean Free Path, Plasma Waves, Velocity Distribution

Scientific paper

The electron velocity distribution under steady heat conduction with an applied axial electric current in a model coronal loop is studied by solving the Fokker-Planck equation. If the loop temperature is high enough that the electron mean-free path is longer than the local temperature scale height along the loop, a velocity hump appears near the local thermal electron velocity. It is suggested that this hump is caused by cooler electrons moving up the temperature gradient to compensate for runaway electrons moving down the gradient. If the ratio between the mean free path and temperature scale height is above 2, negative absorption for the plasma waves may appear. It is shown that plasma instability can occur in the coronal elementary magnetic flux tubes. The critical condition and linear growth rate of the instability are examined.

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