An Electromagnetic Particle-Particle Model on Solving Relativistic Binary Collision

TL;DR

This paper introduces an electromagnetic particle-particle model using Lienard-Wiechert potentials to accurately simulate relativistic binary collisions, extending the applicability of particle-based plasma models beyond electrostatic problems.

Contribution

The paper presents a novel electromagnetic particle-particle model that incorporates Lienard-Wiechert potentials for relativistic collision simulations, surpassing traditional electrostatic limitations.

Findings

The EM-PP model accurately simulates relativistic binary collisions.

Results serve as a baseline to evaluate Frankel's relativistic scattering angle.

The model's scope and accuracy are discussed in comparison to classical formulas.

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.