An Electromagnetic Particle-Particle Model on Solving Relativistic Binary Collision

Fuente: arXiv
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Autori principali: Zhang, Yanan, Ma, Xiaochun, Liu, Hui, Zhao, Yinjian
Natura: Preprint
Pubblicazione: 2025
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author Zhang, Yanan
Ma, Xiaochun
Liu, Hui
Zhao, Yinjian
author_facet Zhang, Yanan
Ma, Xiaochun
Liu, Hui
Zhao, Yinjian
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20038
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Electromagnetic Particle-Particle Model on Solving Relativistic Binary Collision
Zhang, Yanan
Ma, Xiaochun
Liu, Hui
Zhao, Yinjian
Plasma Physics
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.
title An Electromagnetic Particle-Particle Model on Solving Relativistic Binary Collision
topic Plasma Physics
url https://arxiv.org/abs/2502.20038