TITLE:
Comparison of Simulation Methods of Ion-Atomic Collisions in PIC-MC
AUTHORS:
Valeriy Sysun, Alexander Sysun, Vladimir Ignakhin, Viktor Titov, Alexander Tikhomirov
KEYWORDS:
PIC-MC Simulation, Ion-Atomic Collisions, Discharge Plasma
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.13,
December
24,
2014
ABSTRACT: The main ion-atomic collision treatment methods based on Monte-Carlo
simulation are considered and discussed. We have proposed an efficient scheme
for simulation of time between collisions taking into account cross-section
dependence on ion velocity and random generation of ion velocities and
scattering angles after collisions. The developed algorithm of simulation of
interval between collisions takes into account the change of relative velocity
of ion-atom pair as well as the change of cross-section of collision and atomic
concentration. At the same time, unlike the widely used “null-collision”
method, both the probability of collision and change of particles’ state which
determines this probability are taken into consideration for each particle
independently in time. The simulation results according to the techniques proposed are found to
be close to the theoretical values of ion drift velocities. It is revealed that
the “null-collision” method results in exceeding of drift velocity in strong
and intermediate fields. At the same time the proposed method of accumulation
of probability under the same conditions gives values close to theoretical
ones. In weak fields calculated values of drift velocity in both methods exceed
theoretical values to some small extent.