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Main Authors: Bacchini, Fabio, Gorbunov, Evgeny A., de Bonhome, Maximilien Péters, Els, Paul, Argyropoulos, Konstantinos-Xanthos, Ly, Minh Nhat, Grošelj, Daniel
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.15939
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author Bacchini, Fabio
Gorbunov, Evgeny A.
de Bonhome, Maximilien Péters
Els, Paul
Argyropoulos, Konstantinos-Xanthos
Ly, Minh Nhat
Grošelj, Daniel
author_facet Bacchini, Fabio
Gorbunov, Evgeny A.
de Bonhome, Maximilien Péters
Els, Paul
Argyropoulos, Konstantinos-Xanthos
Ly, Minh Nhat
Grošelj, Daniel
contents Particle-in-Cell (PIC) methods have achieved widespread recognition as simple and flexible approaches to model collisionless plasma physics in fully kinetic simulations of astrophysical environments. However, in many situations the standard PIC algorithm must be extended to include macroscopic effects in microscale simulations. For plasmas subjected to shearing or expansion, shearing-box and expanding-box methods can be incorporated into PIC to account for these global effects. For plasmas subjected to local acceleration in confined regions of space, a leaky-box method can allow closed-box PIC simulations to account for particle escape from the accelerator region. In this work, we review and improve methods to include shearing, expansion, and escape in PIC simulations. We provide the numerical details of how Maxwell's equations and the particle equations of motion are solved in each case, and introduce generalized Boris-like particle pushers to solve the momentum equation in the presence of extra forces. This work is intended to serve as a comprehensive reference for the implementation of shearing-box, expanding-box, and leaky-box algorithms in PIC.
format Preprint
id arxiv_https___arxiv_org_abs_2602_15939
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Particle-in-Cell Methods for Simulations of Sheared, Expanding, or Escaping Astrophysical Plasma
Bacchini, Fabio
Gorbunov, Evgeny A.
de Bonhome, Maximilien Péters
Els, Paul
Argyropoulos, Konstantinos-Xanthos
Ly, Minh Nhat
Grošelj, Daniel
Plasma Physics
High Energy Astrophysical Phenomena
Particle-in-Cell (PIC) methods have achieved widespread recognition as simple and flexible approaches to model collisionless plasma physics in fully kinetic simulations of astrophysical environments. However, in many situations the standard PIC algorithm must be extended to include macroscopic effects in microscale simulations. For plasmas subjected to shearing or expansion, shearing-box and expanding-box methods can be incorporated into PIC to account for these global effects. For plasmas subjected to local acceleration in confined regions of space, a leaky-box method can allow closed-box PIC simulations to account for particle escape from the accelerator region. In this work, we review and improve methods to include shearing, expansion, and escape in PIC simulations. We provide the numerical details of how Maxwell's equations and the particle equations of motion are solved in each case, and introduce generalized Boris-like particle pushers to solve the momentum equation in the presence of extra forces. This work is intended to serve as a comprehensive reference for the implementation of shearing-box, expanding-box, and leaky-box algorithms in PIC.
title Particle-in-Cell Methods for Simulations of Sheared, Expanding, or Escaping Astrophysical Plasma
topic Plasma Physics
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2602.15939