Relaxation and bremsstrahlung of thick-target electron streams - A simple application of the Legendre expansion method

Statistics – Computation

Scientific paper

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Bremsstrahlung, Electron Diffusion, Hydrogen Plasma, Solar Flares, Solar Spectra, Solar X-Rays, Accuracy, Boundary Value Problems, Coulomb Collisions, Electron Distribution, Electron Radiation, Electrostatic Probes, Legendre Functions, Linear Equations, Maxwell Equation, Solar Electrons, Velocity Distribution, X Ray Spectra

Scientific paper

The Legendre series expansion of the three-dimensional equations for electron velocity and Langmuir wave distributions provides a numerical treatment for the relaxation of a stationary, axisymmetric electron stream in a homogeneous and fully ionized hydrogen plasma. Both quasilinear and Coulomb interactions figure in the treatment. The electrons are represented by a Fokker-Planck system of equations, which allows elimination of the distinction between background and stream electrons. A computation of the bremsstrahlung associated with the isotropic component of the electron distribution yields a simple model for radiation from thick-target electron streams, for example in impulsive hard X-ray emission from solar flares. Results of the study suggest power law-like bremsstrahlung spectra as they are often observed can be produced quite readily.

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