Microturbulence and the solar wind. I - Analytical results for fast mode instability growth rates

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Magnetohydrodynamic Stability, Plasma Turbulence, Solar Wind, Wave Dispersion, Electrodynamics, Landau Damping, Magnetic Fields, Plasma Frequencies, Thermal Conductivity, Transport Theory, Velocity Distribution

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Analytical expressions for the growth rates of unstable low-frequency 'fast' modes are derived here in the low-frequency, low beta(i) limit for a plasma obeying classical linear transport theory. The results indicate that at the onset of instability (about 10 Rs from the sun), the first growing mode in the solar wind has a frequency of about 0.1 times the proton gyrofrequency and propagates at an appreciable angle to the background magnetic field. Substantial inhomogeneity is required for the growth to overcome competing processes. These modes may have consequences for thermal conduction, proton and helium heating, the observable wave spectrum, and other facets of solar wind theory, though considerable additional theory will be required.

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