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.
Highlights
The simulation of plasma by Particle-in-Cell Monte-Carlo (PIC-MC) method has received widespread application in calculations of ion current on probe and dust particle and plasma simulation of glow and high-frequency discharges [1]-[6]
Direction of ion motion after the collision is characterized by taking into account deviation from original direction θ and azimuth angle φ
Impact parameter and relative velocity are simulated by randomizer and depending on the minimal radius of approximation the angles and ion energies are calculated after collision
Summary
The simulation of plasma by Particle-in-Cell Monte-Carlo (PIC-MC) method has received widespread application in calculations of ion current on probe and dust particle and plasma simulation of glow and high-frequency discharges [1]-[6]. The important stage in PIC-MC method is simulation of ion collisions with neutral atoms. It includes interval simulation between collisions, simulation of velocity and direction of ion motion after collision. (2014) Comparison of Simulation Methods of Ion-Atomic Collisions in PIC-MC. Let us assume by this P′(dt ) —probability of absence of collision for the time t. The probability of collision for dt after non-collision time t , determining decrease of P′ as t increases to dt , is. Equations (1) are the expressions for probability of absence of collision for the time t and for probability density. Equation (2) is probability of collision since the time t is:. The following methods of simulation of the interval between collisions are applied
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