Application of coulomb collision cross-section in particle-in-cell simulation of plasma

Song Mengmeng; Zhou Qianhong; Sun Qiang; Yang Wei; Dong Ye

doi:10.11884/HPLPB202133.200179

Volume 33 Issue 3

Mar. 2021

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Article Navigation > High Power Laser and Particle Beams > 2021 > 33(3): 034004

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Song Mengmeng, Zhou Qianhong, Sun Qiang, et al. Application of coulomb collision cross-section in particle-in-cell simulation of plasma[J]. High Power Laser and Particle Beams, 2021, 33: 034004. doi: 10.11884/HPLPB202133.200179

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Application of coulomb collision cross-section in particle-in-cell simulation of plasma

doi: 10.11884/HPLPB202133.200179

Song Mengmeng^{1, 2
,},
Zhou Qianhong^{1
,
,},
Sun Qiang¹,
Yang Wei¹,
Dong Ye¹

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
2.
Graduate School of China Academy of Engineering Physics, Beijing 100088, China

Received Date: 2020-06-29
Rev Recd Date: 2020-11-12

Available Online: 2021-03-30

Publish Date: 2021-03-05

Abstract

Abstract

In particle-in-cell simulation of plasma, TA and Nanbu models have been widely used for Coulomb collision. Both models require all particles to collide. In this paper, a cross-section-based method is introduced to give a probability of Coulomb collision for each particle pair and accelerate the computation. To test this method, the relaxations of an electron gas due to e-e collisions were simulated. Comparing the simulated with the theoretical values of velocity distribution function, electron temperature, the ratio of electron temperature in x, y direction to electron temperature, the accuracy of the cross-section-based method was verified. The calculation efficiency of this method can be improved by more than 40% than the TA model at the same small time step. Furthermore, at a large time step, the simulations show agreement with the theoretical solutions, the efficiency is also improved than the Nanbu model. The simulation about the equilibration of electron and ion temperature showes that this method is also suitable for e-i collisions. Therefore in the acceleration of simulating Coulomb collision, this method has two advantages as follows: first, there is a small number of particles to collide within a step, and second, it is suitable for large time steps.
- particle-in-cell simulation,
- cross-section of Coulomb collision,
- Monte-Carlo methods,
- TA model,
- Nanbu model,
- plasma

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References

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