Magnetohydrodynamic plasma instability driven by Alfven waves excited by cosmic rays

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmic Rays, Interstellar Gas, Magnetohydrodynamic Stability, Particle Acceleration, Plasma Equilibrium, Astrophysics, Beta Factor, Compression Waves, Magnetoacoustic Waves, Magnetohydrodynamic Waves, Plasma Heating, Plasma-Particle Interactions, Self Excitation, Thermal Plasmas

Scientific paper

Hydrodynamical equations describing the mutual interaction of cosmic rays, thermal plasma, magnetic field, and Alfven waves scattering the cosmic rays used in cosmic ray shock acceleration theory are analyzed for long-wavelength linear compressible instabilities. It is shown that the backward propagating slow magnetoacoustic mode is driven convectively unstable by the wave pressure of self-excited Alfven waves. The marginal stability curve is derived and the stabilizing effects of a preexisting wave field and propagation oblique to the magnetic field are discussed along with the dependence of the growth rates of the instability on the various parameters. A similar analysis is performed for a plasma which does not behave adiabatically, being dissipatively heated by the self-excited Alfven field. This system is found to be unstale to compressions associated with both backward and forward propagating slow magnetoacoustic waves.

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