Stability of coronal loops heated by direct current dissipation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Coronal Loops, Direct Current, Magnetohydrodynamic Stability, Ohmic Dissipation, Plasma Currents, Plasma Heating, Current Density, Magnetohydrodynamic Flow, One Dimensional Flow, Plasma Equilibrium, Solar Corona, Solar Magnetic Field

Scientific paper

A current-carrying one-dimensional plasma is studied by considering a simplified model of a coronal loop plasma which is confined by the magnetic field. A local stability problem is considered, which involves a shorter wavelength than the scale of the loop. Assumptions are presented in mathematical form, and include the following: (1) there is no cross-field current or mass motion; (2) the variation of physical quantities only in the direction of the magnetic field is considered; (3) the plasma is quasi neutral; (4) processes slower than the electron-ion temperature relaxation time are considered; (5) the cross section of the loop is constant; (6) the pressure scale of the plasma is larger than the height of the loop; and (7) the current density remains constant in time. The dispersion relation for a current-carrying plasma is obtained.

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