Nonlinear treatment for solar radio spikes. 2: The fastest growing mode

Details Nonlinear treatment for solar radio spikes. 2: The fastest growing mode Nonlinear treatment for solar radio spikes. 2: The fastest growing mode

Aug 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994soph..153..389f&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 153, no. 1-2, p. 389-402

Astronomy and Astrophysics

Astronomy

18

Distribution Functions, Electron Distribution, Modes, Nonlinear Equations, Radio Astronomy, Relativity, Solar Radio Emission, Spikes, Transverse Waves, Bessel Functions, Bremsstrahlung, Electron Energy, Electrons, Solar X-Rays

Scientific paper

Linear (temporal and spatial) growth rates of high-frequency normal modes are calculated when an unstable fast electron population with a two-side loss cone and power-law energetic distribution exists in a magnetized plasma. The dominant mode is shown to be: fundamental X-mode if Y = (omegape/omegaBe) is less than 0.2 - 0.3, lh-mode if Y is greater than 0.2 - 0.3 and less than 0.5 - 0.8, fundamental Z-mode if Y is greater than 0.5 - 0.8 and less than 0.9 for a broad energetic spectrum of electrons (E greater than or approximately equal to 10 keV and less than or approximately equal to 200 keV). These modes of nonlinear effects in electron-cyclotron maser (ECM) problems including quasilinear relaxation of the instability. From the obtained dependence of the growth rates on the bandwidth of the electron spectrum we predict that the spiky emission should have no corrrelation with electron gamma-ray Bremsstrahlung, contrary to the correlation with hard X-ray emission. We find that the growth rates can grow with the decrease of the electron distribution anisotropy (in a certain range of the anisotropy parameter value). This behavior explains naturally a super-exponential (gaussian) rise phase of the spikes discovered in observations.

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