Three-dimensional nonsteady compressible magnetohydrodynamic fluctuations in the solar wind

Computer Science – Sound

Scientific paper

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Compressibility Effects, Magnetohydrodynamic Stability, Plasma Oscillations, Solar Wind, Three Dimensional Models, Heliosphere, Perturbation Theory, Unsteady State

Scientific paper

Some basic properties of 3D nonsteady compressible MHD perturbations in a polytropic radial MHD wind with spherical symmetry are investigated. At a large radial distance, r, analytical solutions are derived for MHD slow- and fast-type perturbations for several rational values of the polytropic index, gamma. For the typical case of gamma less than 2, MHD fast-type perturbations always propagate relative to the wind. For the atypical case of gamma greater than 2, acoustic perturbations actually become MHD slow perturbations at large r because the sound speed is now slower than the Alfven speed, which scales as about r exp -1 at large r, and these acoustic perturbations do not propagate relative to the wind, yet the wind advects them radially outward. The increasing trends with r of the relative density and magnetic field fluctuations observed in high-speed solar winds within 0.3 to 1 AU are interpreted as a manifestation of MHD fast- and slow-type perturbations.

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