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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…

Plasma Physics · Physics 2014-08-07 Brendan B. Godfrey

Entity is a new-generation, fully open-source particle-in-cell (PIC) code developed to overcome key limitations in astrophysical plasma modeling, particularly the extreme separation of scales and the performance challenges associated with…

We present the Photon-Plasma code, a modern high order charge conserving particle-in-cell code for simulating relativistic plasmas. The code is using a high order implicit field solver and a novel high order charge conserving interpolation…

Solar and Stellar Astrophysics · Physics 2015-06-12 Troels Haugboelle , Jacob Trier Frederiksen , Aake Nordlund

Numerical heating in particle-in-cell (PIC) codes currently precludes the accurate simulation of cold, relativistic plasma over long periods, severely limiting their applications in astrophysical environments. We present a spatially…

The use of explicit particle-in-cell (PIC) method for relativistic plasma simulations is restricted by numerical heating and instabilities that may significantly constrain the choice of time and space steps. To partially eliminate these…

Plasma Physics · Physics 2024-02-12 Arkady Gonoskov

Numerical solutions to the Vlasov-Poisson system of equations have important applications to both plasma physics and cosmology. In this paper, we present a new Particle-in-Cell (PIC) method for solving this system that is 4th-order accurate…

Numerical Analysis · Mathematics 2016-02-03 Andrew Myers , Phillip Colella , Brian Van Straalen

Large-scale simulations of plasmas are essential for advancing our understanding of fusion devices, space, and astrophysical systems. Particle-in-Cell (PIC) codes have demonstrated their success in simulating numerous plasma phenomena on…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-05 Steven W. D. Chien , Jonas Nylund , Gabriel Bengtsson , Ivy B. Peng , Artur Podobas , Stefano Markidis

Particle-in-cell codes are the most widely used simulation tools for kinetic studies of ultra-intense laser-plasma interactions. Using the motion of a single electron in a plane electromagnetic wave as a benchmark problem, we show…

Plasma Physics · Physics 2021-04-07 Kavin Tangtartharakul , Guangye Chen , Alexey Arefiev

Particle-In-Cell codes are widely used for plasma physics simulations. It is often the case that particles within a computational cell need to be split to improve the statistics or, in the case of non-uniform meshes, to avoid the…

Computational Physics · Physics 2021-04-22 Roch Smets , Nicolas Aunais , ANdrea Ciardi , Matthieu Drouin , Martin Campos-Pino , Philip Deegan

We discuss the interpolation of the electric and magnetic fields within a charge-conserving Particle-In-Cell scheme. The choice of the interpolation procedure for the fields acting on a particle can be constrained by analyzing conservation…

Plasma Physics · Physics 2012-09-14 Igor V. Sokolov

Particle in Cell (PIC) simulations are a widely used tool for the investigation of both laser- and beam-driven plasma acceleration. It is a known issue that the beam quality can be artificially degraded by numerical Cherenkov radiation…

Accelerator Physics · Physics 2017-03-30 Sören Jalas , Irene Dornmair , Rémi Lehe , Henri Vincenti , Jean-Luc Vay , Manuel Kirchen , Andreas R. Maier

We propose a class of Particle-In-Cell (PIC) methods for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic field with fixed direction, where we focus on the motion of particles in the plane orthogonal to the…

Numerical Analysis · Mathematics 2017-01-25 Francis Filbet , Luis Rodrigues

Outstanding advances in solid-state laser technology, employing the optical parametric chirped-pulse-amplification (OPCPA) technique, have led physicists to focus laser pulses to highly-relativistic intensities which led to novel schemes…

Plasma Physics · Physics 2026-01-28 Szilárd Majorosi , Nasr Hafz , Zsolt Lécz

Recent increases in supercomputing power, driven by the multi-core revolution and accelerators such as the IBM Cell processor, graphics processing units (GPUs) and Intel's Many Integrated Core (MIC) technology have enabled kinetic…

Particle-in-Cell (PIC) methods employ particle representations of unknown fields, but also employ continuum fields for other parts of the problem. Thus projection between particle and continuum bases is required. Moreover, we often need to…

Plasma Physics · Physics 2023-06-22 Joseph V. Pusztay , Matthew G. Knepley , Mark F. Adams

Until recently, electromagnetic finite element PIC (EM-FEMPIC) methods that demonstrated charge conservation used explicit field solvers. It is only recently, that a series of papers developed the mathematics necessary for charge…

Computational Physics · Physics 2021-11-25 Zane D. Crawford , O. H. Ramachandran , Scott O'Connor , John Luginsland , B. Shanker

Reduced-order particle-in-cell (PIC) scheme is a novel modeling approach that enables computationally efficient electrostatic kinetic simulations of plasma. In our previous publications, we demonstrated the potentials of a preliminary…

Plasma Physics · Physics 2022-08-30 Maryam Reza , Farbod Faraji , Aaron Knoll

The particle-in-cell (PIC) method is a well-established and widely used kinetic plasma modelling approach that provides a hybrid Lagrangian-Eulerian approach to solve the plasma kinetic equation. Despite its power in capturing details of…

Plasma Physics · Physics 2024-11-11 Maryam Reza , Farbod Faraji , Aaron Knoll

Modern ultra-intense laser facilities can generate electromagnetic fields strong enough to accelerate particles to near-light speeds over micron-scale distances and also approach the QED critical field, resulting in highly nonlinear and…

Plasma Physics · Physics 2025-11-13 Q. Qian , D. Seipt , M. Vranic , T. Grismayer , C. P. Ridgers , A. G. R. Thomas

Modeling of kinetic plasmas using electromagnetic particle in cell methods (EM-PIC) is a problem that is well worn, in that methods developed have been used extensively both understanding physics and exploiting them for device design.…

Computational Physics · Physics 2021-12-01 Zane D. Crawford , Scott O'Connor , John Luginsland , B. Shanker
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