从碰撞次数的概率分布出发,推导出一种补偿蒙特卡罗碰撞模型,采用以正态分布计算得到的平均碰撞次数作为碰撞概率,来补偿传统方法中忽略的多次碰撞。通过模拟不同折合电场强度条件下He气放电产生电子的运动规律,验证了补偿蒙特卡罗碰撞模型的正确性。计算结果表明:补偿蒙特卡罗碰撞模型可以有效地提高计算效率,特别适用于高气压气体放电现象的粒子模拟。

A compensated Monte-Carlo collision model(CMCC) was proposed,which took the average collision times computed from normal distribution as the probability of single particle collision during a time step. Hereby the ignored multi-time collisions were compensated by additive single collisions. The electron motion in discharged He gas was simulated with CMCC model on different reduced field conditions. Simulation results showed that CMCC model with long time step got the same electron velocity distribution and temperature as conventional MCC model with short time step. It was proved that the CMCC model had high efficiency especially for PIC simulation of high pressure gas discharges.