Turbulence Cascade Beyond MHD and Inertial Range

Astronomy and Astrophysics – Astronomy

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Scientific paper

Using the diffusion approximation and the exact dispersion relation, we study the cascade and damping of turbulent plasma waves beyond magnetohydrodynamics (MHD) regime and beyond the inertial range, where damping is important. We test several approximations for the wave-wave coupling rate τw-1 to derive the cascade time and the diffusion coefficient. Different rates (τw-1 vk cosθ, vg·k or ω(k)) result in somewhat different wave spectra with power law index ranging from -5/3 to -2. Those also result in an anisotropic cascade, which when combined with anisotropic thermal damping, can produce the broken power-law wave spectra observed in the solar wind. The model predicts that the break wavenumber depends on turbulence level and Alfven velocity, which can be tested by further observations. We also explore the application of the resulting wave spectra on stochastic acceleration of particles in solar flares.

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