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A fundamental task in particle-in-cell (PIC) simulations of plasma physics is solving for charged particle motion in electromagnetic fields. This problem is especially challenging when the plasma is strongly magnetized due to numerical…

Computational Physics · Physics 2026-01-01 Tri P. Nguyen , Ilon Joseph , Mayya Tokman

In this paper we focus on WENO-based methods for the simulation of the 1D Quasi-Relativistic Vlasov--Maxwell (QRVM) model used to describe how a laser wave interacts with and heats a plasma by penetrating into it. We propose several…

Analysis of PDEs · Mathematics 2015-06-22 Francesco Vecil , Pep Mulet , Simon Labrunie

The Particle-In-Cell (PIC) method for plasma simulation tracks particle phase space information using particle and grid data structures. High computational costs in 2D and 3D device-scale PIC simulations necessitate parallelization, with…

Computational Physics · Physics 2025-06-27 Libn Varghese , Bhaskar Chaudhury , Miral Shah , Mainak Bandyopadhyay

A three-dimensional, space-frequency model for simulation of interaction in free-electron lasers (FELs) is presented. The model utilizes an expansion of the total electromagnetic field (radiation and space-charge waves) in terms of…

Accelerator Physics · Physics 2009-11-13 Yosef Pinhasi , Yuri Lurie , Asher Yahalom

A surrogate model for particle-in-cell plasma simulations based on a graph neural network is presented. The graph is constructed in such a way as to enable the representation of electromagnetic fields on a fixed spatial grid. The model is…

Plasma Physics · Physics 2025-03-04 Marin Mlinarević , George K. Holt , Adriano Agnello

We present a fully three-dimensional kinetic framework for modeling intense short pulse lasers interacting with dielectric materials. Our work modifies the open-source Particle-In-Cell (PIC) code EPOCH to include new models for molecular…

JAX-in-Cell is a fully electromagnetic, multispecies, and relativistic 1D3V Particle-in-Cell (PIC) framework implemented entirely in JAX. It provides a modern, Python-based alternative to traditional PIC frameworks. It leverages…

Plasma Physics · Physics 2025-12-16 Longyu Ma , Rogerio Jorge , Hongke Lu , Aaron Tran , Christopher Woolford

Particle-mesh methods, such as the particle-in-cell (PIC) method, cannot retain exact pairwise interaction at sub-cell scales. For dense nonneutral relativistic electron bunches, this makes it difficult to accurately capture the…

Plasma Physics · Physics 2026-05-08 Yinjian Zhao , Yibo Liang , Yanan Zhang , Xiaochun Ma , Hui Liu

Recently proposed modifications of the standard particle-in-cell (PIC) method resolve long-standing limitations such as exact preservation of physically conserved quantities and unbiased ensemble down-sampling. Such advances pave the way…

Plasma Physics · Physics 2026-03-13 Frida Brogren , Christoffer Olofsson , Joel Magnusson , Arkady Gonoskov

The one-dimensional Vlasov-Poisson system is considered and a particle method is developed to approximate solutions without compact support which tend to a fixed background of charge as $| x | \to \infty$. Such a system of equations can be…

Numerical Analysis · Mathematics 2014-01-03 Stephen Pankavich

In this paper we present a model based on dynamics of the electrons in the plasma using a simplified Boltzmann equation coupled with a Poisson equation. The motivation arose to simulate active plasma resonance spectroscopy which is used for…

Numerical Analysis · Mathematics 2012-01-13 Juergen Geiser , Thomas Zacher

The hybrid kinetic-ion fluid-electron plasma model is widely used to study challenging multi-scale problems in space and laboratory plasma physics. Here, a novel conservative scheme for this model employing implicit particle-in-cell…

Plasma Physics · Physics 2022-04-13 A. Stanier , L. Chacon

Plasmas generated using energetic electron beams are well known for their low electron temperature ($T_{e}$) and plasma potential, which makes them attractive for atomic-precision plasma processing applications such as atomic layer etch and…

Plasma Physics · Physics 2023-06-07 Shahid Rauf , D. Sydorenko , S. Jubin , W. Villafana , S. Ethier , A. Khrabrov , I. Kaganovich

The Gyrokinetic Toroidal Code at Princeton (GTC-P) is a highly scalable and portable particle-in-cell (PIC) code. It solves the 5D Vlasov-Poisson equation featuring efficient utilization of modern parallel computer architectures at the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-20 Bei Wang , Stephane Ethier , William Tang , Khaled Ibrahim , Kamesh Madduri , Samuel Williams , Leonid Oliker

A new Particle-in-Cell (PIC) method, that conserves energy exactly, is presented. The particle equations of motion and the Maxwell's equations are differenced implicitly in time by the midpoint rule and solved concurrently by a…

Computational Physics · Physics 2015-05-30 Stefano Markidis , Giovanni Lapenta

A Particle-in-Cell (PIC) numerical simulation of the electron Weibel instability is applied in a frame of Darwin (radiationless) approximation of the self-consistent fields of sparse plasma. As a result, we were able to supplement the…

Plasma Physics · Physics 2010-06-29 L. V. Borodachev , D. O. Kolomiets

Solid-density plasmas driven by intense x-ray free-electron laser (XFEL) radiation are seeded by sources of non-thermal photoelectrons and Auger electrons that ionize and heat the target via collisions. Simulation codes that are commonly…

Plasma Physics · Physics 2017-06-14 Ryan Royle , Yasuhiko Sentoku , Roberto C. Mancini , Ioana Paraschiv , Tomoyuki Johzaki

The interaction of a multi-Petawatt, pancake-shaped laser pulse with an unmagnetized plasma is studied analytically and numerically in the regime of fully relativistic electron jitter velocities and in the context of the laser wakefield…

Plasma Physics · Physics 2014-07-31 Dušan Jovanović , Renato Fedele , Milivoj Belić , Sergio De Nicola

Laboratory plasmas in open magnetic geometries can be found in many different applications such as (1) Scrape-Of-Layer (SOL) and divertor regions in toroidal confinement fusion devices (\approx1-10^2\hspace{1mm}\mathrm{eV}), (2) linear…

Plasma Physics · Physics 2022-02-09 Atul Kumar , J. F. Caneses Marin

Ultra intense lasers are a promising source of energetic ions for various applications. An interesting approach described in Ferri et al. 2019 argues from Particle-in-Cell simulations that using two laser pulses of half energy (half…

Plasma Physics · Physics 2021-10-12 Nashad Rahman , Joseph R. Smith , Gregory Ngirmang , Chris Orban