03-20
Monte Carlo simulation of Boltzmann equation in Space Plasma at high latitude
by Barghouthi, I.; Qatanani, N.; Allan, F.
Preprint series: 03-20, Preprints
- MSC:
- 65C05 Monte Carlo methods
- 76P05 Rarefied gas flows, Boltzmann equation, See also {82B40, 82C40, 82D05}
Abstract: The Monte Carlo method was shown to be a very powerful technique in solving Boltzmann\xb4s equation by particle simulation. Its simple concept, straightforward algorithm, and its adaptability to include new features (such as, gravity, electric field, geomagnetic field, and different collision models) make it useful tool in spce plasma physics, and a powerful test of results obtained with other mathematical methods. We have used Monte Carlo method to solve Boltzmann equation, which describes the motion of a minor ion in a background ions. We have computed the minor ion velocity distribution function, drift velocity, density, Temperatures and heat fluxes. As an application, Monte Carlo simulation method has been adapted to determine the O+ velocity distribution function, O+ density, O+ drift velocity, O+ temperatures, and O+ heat fluxes for Coulomb Milne problem.
Keywords: Monte Carlo simulation, Boltzmann equation, Milne problem, Coulomb collision, Space Plasma
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