Overstable slow-gravity modes in a thermally conducting MHD plasma-slab

Physics – Plasma Physics

Scientific paper

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Gravitational Effects, Gravitational Fields, Magnetohydrodynamic Waves, Magnetoplasmadynamics, Plasma Conductivity, Thermal Conductivity, Boussinesq Approximation, Finite Element Method, Plasma Acceleration, Plasma Physics

Scientific paper

A study of the spectrum of linear motions of a compressible and thermally conducting plasma slab with a horizontal magnetic field and a constant vertical gravity field is conducted in order to obtain a clear picture of overstable linear motions. A numerical scheme is used based on a finite element discretization which allows for the rigorous inclusion of the compressibility of the plasma and the nonuniformity of the equilibrium configuration. It is found that the overstable linear modes are part of the slow-gravity subspectrum that also contains the isothermal continuum and two groups of purely exponentially growing modes, determined by thermal and gravitational effects. The oscillatory frequencies of the overstable modes are always smaller than the maximum value of the isothermal frequency, so that the characteristic periods of the overstable modes are larger than those obtained in the Boussinesq approximation which are linked to the Alfven frequency.

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