An Electromagnetic Particle-Particle Model on Solving Relativistic Binary Collision
Abstract
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 Lienard-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.
Cite
@article{arxiv.2502.20038,
title = {An Electromagnetic Particle-Particle Model on Solving Relativistic Binary Collision},
author = {Yanan Zhang and Xiaochun Ma and Hui Liu and Yinjian Zhao},
journal= {arXiv preprint arXiv:2502.20038},
year = {2025}
}