Incompressible disturbances in nonuniform media - Formation of small scales

Mathematics – Logic

Scientific paper

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Energy Transfer, Magnetohydrodynamic Stability, Magnetohydrodynamic Waves, Photosphere, Propagation Modes, Energy Dissipation, Flux Density, High Temperature Plasmas, Solar Corona, Solar Magnetic Field

Scientific paper

The study proposes a phenomenological interpretation of the mechanism of the formation of small scales during the propagation of an MHD wave where only z(+) fluctuations are excited. The nonlinear effects are shown to be negligible when the initial disturbance travels in the direction of the background magnetic field and its wavelength is comparable to the nonuniformity scale length. It is shown that the interaction between the perturbation and the inhomogeneous background has two effects: the oscillations of neighboring field lines become rapidly out of phase, producing small scales in the direction of nonuniformity, and the pressure gradients caused by the perturbation have the tendency to concentrate energy in the neighborhood of the point where the wave frequency resonates with the local Alfven frequency, with a subsequent local creation of small scales.

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