Mathematics – Probability
Scientific paper
Jul 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984soph...93..379f&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 93, July 1984, p. 379-391.
Mathematics
Probability
2
Electron Trajectories, Solar Electrons, Stochastic Processes, Type 3 Bursts, Electron Distribution, Magnetically Trapped Particles, Probability Theory, Temporal Distribution
Scientific paper
The trajectories of individual electrons of a stream that excites a type III burst may well deviate from a smooth path, for one or both of the following reasons: (1) the magnetic field lines along which the electrons are guided have an irregular course; (2) the pitch angle of an electron is liable to variations. Irregularities of the individual trajectories imply different path lengths and consequently have an effect on the intensity-time profile of the burst. The solution of the 'gambler's ruin' problem, known from probability theory, is successfully applied to discuss this effect. It yields model profiles that are very similar to the observed profiles. On the assumption that notably the rise of intensity is to a large extent governed by the effect of the irregularities of electron trajectories, a discussion is made of the parameters that define the stochasticity of these irregularities. Inferences are drawn on the typical shape which an electron path has under the present assumption.
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