by Barghouthi, I., Qatanani, N., Allan, F..

**Series:** 2003-20, Preprints

- MSC:
- 65C05 Monte Carlo methods
- 76P05 Rarefied gas flows, Boltzmann equation

**Abstract:**

The Monte Carlo method was shown to be a very powerful technique in

solving Boltzmann´s 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