Mathematics – Probability
Scientific paper
Nov 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985georl..12..753s&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 12, Nov. 1985, p. 753-756.
Mathematics
Probability
4
Ionic Diffusion, Natural Satellites, Satellite Atmospheres, Toroidal Plasmas, Diffusion Theory, Io, Ion Sources, Probability Distribution Functions, Random Walk, Space Plasmas, Planets, Satellites, Calculations, Models, Diffusion, Ions, Plasma Torus, Particles, Source, Ionization, Electrons, Impacts, Jupiter, Io, Sulfur, Oxygen, Partitioning
Scientific paper
The authors model the diffusion of ions in a satellite plasma torus by means of a symmetric one dimensional random walk in which the particle source is at 0, the particle sink is at N (an integer ≥2), and the scale size of the diffusion cell is unity. The authors obtain the probability distribution function of the number of steps to exit for an ion or, equivalently, the probability distribution of ion residence times. This distribution is used in a model incorporating ionization by electron impact to derive steady state expressions for the ratio of the numbers of doubly to singly ionized ions, and the total number of ions in the torus. The authors apply the results to the torus of the Jovian satellite Io to predict mean residence times for sulphur and oxygen ions.
Siscoe George L.
Summers Donald
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