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The loss-cone driven instability for Langmuir waves in an unmagnetized plasma
Authors:R G Hewitt  D B Melrose
Institution:(1) School of Physics, University of Sydney, 2006 Sydney, N.S.W., Australia
Abstract: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 lsquogaprsquo distribution develops. The growth is most favorable for an intermediate sized loss cone (agr sim 45 °) and a lsquogaprsquo 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 lsquogaprsquo 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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