The loss-cone driven instability for Langmuir waves in an unmagnetized plasma

Physics

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Electrostatic Waves, Magnetohydrodynamic Stability, Plasma Radiation, Solar Corona, Solar Radio Bursts, Absorption Spectra, Distribution Functions, Electron Energy, Electron Gas, Landau Damping, Magnetically Trapped Particles, Maxwell-Boltzmann Density Function, Plasma Turbulence, Solar Magnetic Field, Temperature Distribution

Scientific paper

Analytic and numerical results are presented for the growth rate of Langmuir waves due to a loss-cone distribution of energetic electrons. The effect of the magnetic field on the wave-particle interaction is ignored, and the resonance condition is described in terms of a resonance hyperboloid in momentum space. The collisional evolution of a distribution of magnetically trapped electrons is followed numerically to show how a 'gap' distribution develops. The growth is most favorable for an intermediate sized loss cone (alpha of about 45 deg) and a 'gap' distribution in which the mean energy of the suprathermal electrons is much larger than the thermal energy of the background electrons. It is plausible that loss-cone 'gap' distributions do develop in the solar corona, and that they should lead to second harmonic plasma emission weakly polarized in the x-mode.

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