On Alfvén waves in an atmosphere with viscosity and anisotropic resistivity

Physics

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Stellar Atmospheres, Radiative Transfer, Opacity And Line Formation, Magnetohydrodynamic Waves, Magnetohydrodynamics And Plasmas

Scientific paper

We consider dissipative Alfvén waves in a viscous atmosphere with a magnetic field, so that the electrical conductivity is considered as a non-diagonal tensor. Under a vertical uniform magnetic field we consider transverse magnetic and velocity perturbations. We obtain two decoupled second-order systems to right and left polarized Alfvén waves. The first electrical diffusivity χ1 and the viscous diffusivity ɛ are associated with ``real'' damping; the second electrical diffusivity χ2 is associated with ``imaginary damping''. Boundary conditions are imposed in order to obtain the velocity perturbation spectrum of an Alfvén wave. The velocity perturbation is plotted versus altitude over a distance of five scale heights, for different values of the parameters. .

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