Mathematics – Probability
Scientific paper
Jul 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..42..261s&link_type=abstract
Astrophysics and Space Science, vol. 42, July 1976, p. 261-283.
Mathematics
Probability
3
Cyclotron Frequency, Electron Plasma, Magnetic Field Configurations, Particle Acceleration, Plasma Waves, Solar Flares, Distribution Functions, Magnetohydrodynamics, Maxwell-Boltzmann Density Function, Operators (Mathematics), Probability Theory, Relaxation Time, Scattering Cross Sections, Thomson Scattering
Scientific paper
The paper gives an analytical investigation of the role of electron plasma waves in the acceleration of particles in a moderate magnetic field, where the electron cyclotron frequency is less than, but nearly equal to the electron plasma frequency. It is shown that a general property of electron plasma waves in a moderate magnetic field is to collapse to an almost one-dimensional distribution once their energy density becomes sufficiently high for induced processes to be dominant. This retards the acceleration of slower particles and enhances the acceleration of faster particles when the plasma wave distribution has a negative slope.
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