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<p>With the significant advancements in parallel computing techniques, the particle-particle (PP) model has been effectively utilized in various plasma-related applications. However, PP has been limited for solving only electrostatic problems under Coulomb’s law, by analogy to the particle-in-cell (PIC) model solving Poisson’s equation. While electromagnetic PIC is common with coupled solutions of Maxwell’s equations, we propose an electromagnetic (EM) PP model taking advantage of Liénard-Wiechert potentials for point charge in this paper. In addition, this EM-PP model can contribute to simulate relativistic binary collisions with high accuracy; thus, its results are used as a baseline to compare with the classical Frankel’s relativistic scattering angle, and the accuracy and applicable scope of Frankel’s formula are discussed.</p>

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An electromagnetic particle-particle model on solving relativistic binary collision

  • 期刊论文

  • 发表日期：

    2025年5月22日

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  • Yanan Zhang,
  • Xiaochun Ma,
  • Hui Liu,
  • Yinjian Zhao

摘要

With the significant advancements in parallel computing techniques, the particle-particle (PP) model has been effectively utilized in various plasma-related applications. However, PP has been limited for solving only electrostatic problems under Coulomb’s law, by analogy to the particle-in-cell (PIC) model solving Poisson’s equation. While electromagnetic PIC is common with coupled solutions of Maxwell’s equations, we propose an electromagnetic (EM) PP model taking advantage of Liénard-Wiechert potentials for point charge in this paper. In addition, this EM-PP model can contribute to simulate relativistic binary collisions with high accuracy; thus, its results are used as a baseline to compare with the classical Frankel’s relativistic scattering angle, and the accuracy and applicable scope of Frankel’s formula are discussed.