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The main ion-atomic collision treatment methods based on Monte-Carlosimulation are considered and discussed. We have proposed an efficient schemefor simulation of time between collisions taking into account cross-sectiondependence on ion velocity and random generation of ion velocities andscattering angles after collisions. The developed algorithm of simulation ofinterval between collisions takes into account the change of relative velocityof ion-atom pair as well as the change of cross-section of collision and atomicconcentration. At the same time, unlike the widely used -null-collision-method, both the probability of collision and change of particles’ state whichdetermines this probability are taken into consideration for each particleindependently in time. The simulation results according to the techniques proposed are found tobe close to the theoretical values of ion drift velocities. It is revealed thatthe -null-collision- method results in exceeding of drift velocity in strongand intermediate fields. At the same time the proposed method of accumulationof probability under the same conditions gives values close to theoreticalones. In weak fields calculated values of drift velocity in both methods exceedtheoretical values to some small extent.


PIC-MC Simulation, Ion-Atomic Collisions, Discharge Plasma

Cite this paper

Sysun, V. , Sysun, A. , Ignakhin, V. , Titov, V. and Tikhomirov, A. 2014 Comparison of Simulation Methods of Ion-Atomic Collisions in PIC-MC. Journal of Applied Mathematics and Physics, 2, 1233-1241. doi: 10.4236-jamp.2014.213144.

Autor: Valeriy Sysun, Alexander Sysun, Vladimir Ignakhin*, Viktor Titov, Alexander Tikhomirov



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