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We present EZ, a novel current deposition algorithm for particle-in-cell (PIC) simulations. EZ calculates the current density on the electromagnetic grid due to macro-particle motion within a time step by solving the continuity equation of…

When the Debye length is not resolved in a simulation using the most common particle-in-cell (PIC) algorithm, the plasma will unphysically heat until the Debye length becomes resolved via a phenomenon known as grid heating. This article…

Plasma Physics · Physics 2025-09-18 Luke C Adams , Gregory R Werner , John R Cary

We construct an efficient class of increasingly high-order (up to 17th-order) essentially non-oscillatory schemes with multi-resolution (ENO-MR) for solving hyperbolic conservation laws. The candidate stencils for constructing ENO-MR…

Numerical Analysis · Mathematics 2023-11-28 Hua Shen

We describe an implementation of a particle physics module available for the PLUTO code, appropriate for the dynamical evolution of a plasma consisting of a thermal fluid and a non-thermal component represented by relativistic charged…

High Energy Astrophysical Phenomena · Physics 2018-05-23 A. Mignone , G. Bodo , B. Vaidya , G. Mattia

In this paper, we develop new high-order numerical methods for hyperbolic systems of nonlinear partial differential equations (PDEs) with uncertainties. The new approach is realized in the semi-discrete finite-volume framework and is based…

The filamentation instability driven by two spatially uniform and counter-streaming beams of charged particles in plasmas is modelled by a particle-in-cell (PIC) simulation. Each beam consists of the electrons and positrons. The four…

Plasma Physics · Physics 2009-05-05 M E Dieckmann , P K Shukla , L Stenflo

We present a novel framework for Finite Element Particle-in-Cell methods based on the discretization of the underlying Hamiltonian structure of the Vlasov-Maxwell system. We derive a semi-discrete Poisson bracket, which retains the defining…

Numerical Analysis · Mathematics 2017-10-05 Michael Kraus , Katharina Kormann , Philip J. Morrison , Eric Sonnendrücker

Next generation of ultra-intense laser facilities will lead to novel physical conditions ruled by collective and quantum electrodynamics effects, such as synchrotron-like emission of high-energy photons and electron-positron pair…

We present an explicit temporal discretization of particle-in-cell schemes for the Vlasov equation that results in exact energy conservation when combined with an appropriate spatial discretization. The scheme is inspired by a simple,…

Numerical Analysis · Mathematics 2024-11-15 Lee F. Ricketson , Jingwei Hu

Explicit high-order non-canonical symplectic particle-in-cell algorithms for classical particle-field systems governed by the Vlasov-Maxwell equations are developed. The algorithm conserves a discrete non-canonical symplectic structure…

Plasma Physics · Physics 2016-03-15 Jianyuan Xiao , Hong Qin , Jian Liu , Yang He , Ruili Zhang , Yajuan Sun

We study with particle-in-cell (PIC) simulations the stability of fast magnetosonic shocks. They expand across a collisionless plasma and an orthogonal magnetic field that is aligned with one of the directions resolved by the 2D…

Plasma Physics · Physics 2023-07-17 M E Dieckmann , C Huete , F Cobos , A Bret , D Folini , B Eliasson , R Walder

This paper introduces a novel second-order splitting scheme for charged-particle dynamics in strong magnetic fields characterized by the maximal ordering. The proposed scheme is explicit and symmetric, which respectively ensure the…

Numerical Analysis · Mathematics 2026-04-14 Mengting Hu , Jiyong Li , Bin Wang

Smoothing short-wavelength charge density variations can stabilize explicit electrostatic particle-in-cell (PIC) plasma simulations against grid heating and cold beam instabilities, which cause unphysical heating when the Debye length is…

Plasma Physics · Physics 2025-03-10 Gregory R. Werner , Luke C. Adams , John R. Cary

An independent control of the flux and energy of ions impacting on an object immersed in a plasma is often desirable for many industrial processes such as microelectronics manufacturing. We demonstrate that a simultaneous control of these…

Plasma Physics · Physics 2018-08-29 Sarveshwar Sharma , Igor Kaganovich , Alexander Khrabrov , Predhiman Kaw , Abhijit Sen

First-principles particle-in-cell (PIC) simulation is a powerful tool for understanding plasma behavior, but this power often comes at great computational expense. Artificially reducing the ion/electron mass ratio is a time-honored practice…

Plasma Physics · Physics 2022-01-14 Gregory R. Werner , Scott Robertson , Thomas G. Jenkins , Andrew M. Chap , John R. Cary

Particle-in-cell methods with stochastic collision models are commonly used to simulate collisional plasma dynamics, with applications ranging from hypersonic flight to semiconductor manufacturing. Code verification of such methods is…

Computational Physics · Physics 2026-05-26 Brian A. Freno , William J. McDoniel , Christopher H. Moore , Neil R. Matula

Numerical simulations of relativistic plasmas have become more feasible, popular, and crucial for various astrophysical sources with the availability of computational resources. The necessity for high-accuracy particle dynamics is…

High Energy Astrophysical Phenomena · Physics 2024-07-24 L. Du Plessis , C. Venter , A. K. Harding , Z. Wadiasingh , C. Kalapotharakos , P. Els

A new class of phenomena stemming from topological states of quantum matter has recently found a variety of analogies in classical systems. Spin-locking and one-way propagation have been shown to drastically alter our view on scattering of…

There are now more Particle-in-Cell (PIC) codes than ever before that researchers use to simulate intense laser-plasma interactions. To date, there have been relatively few direct comparisons of these codes in the literature, especially for…

The state of the art in electromagnetic Finite Element Particle-in-Cell (EM-FEMPIC) has advanced significantly in the last few years. These have included understanding function spaces that must be used to represent sources and fields…

Computational Physics · Physics 2022-08-29 Omkar H. Ramachandran , Zane D. Crawford , Scott O'Connor , John Luginsland , B. Shanker
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