Review and Recent Advances in PIC Modeling of Relativistic Beams and Plasmas

TL;DR

This paper reviews recent advances in Particle-in-Cell (PIC) simulation techniques for modeling relativistic beams and plasmas, focusing on algorithm improvements, stability, and spectral methods.

Contribution

It provides a comprehensive overview of finite difference and pseudo-spectral PIC algorithms, highlighting recent developments and stability enhancements.

Findings

Enhanced spectral field solver techniques

Methods for suppressing numerical instabilities

Advances in multidimensional nonlinear plasma modeling

Abstract

Particle-in-Cell (PIC) simulation codes have wide applicability to first-principles modeling of multidimensional nonlinear plasma phenomena, including wake-field accelerators. This review addresses both finite difference and pseudo-spectral PIC algorithms, including numerical instability suppression and generalizations of the spectral field solver.