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In order to perform physically faithful particle-in-cell (PIC) simulations, the Gauss's law stands as a critical requirement, since its violation often leads to catastrophic errors in long-term plasma simulations. This work proposes a novel…

Plasma Physics · Physics 2025-06-04 Zhonghua Qiao , Zhenli Xu , Qian Yin , Shenggao Zhou

Basic principles of particle-in-cell (PIC ) codes with the main application for plasma-based acceleration are discussed. The ab initio full electromagnetic relativistic PIC codes provide the most reliable description of plasmas. Their…

Plasma Physics · Physics 2015-10-06 Alexander Pukhov

Common time-explicit numerical methods for kinetic simulations of plasmas in the low-collisions limit fall into two classes of algorithms: momentum conserving and energy conserving. Each has certain drawbacks. The PIC algorithm does not…

Plasma Physics · Physics 2015-06-11 E. G. Evstatiev , B. A. Shadwick

The quasi-neutral hybrid particle-in-cell algorithm with kinetic ions and fluid electrons is a popular model to study multi-scale problems in laboratory, space, and astrophysical plasmas. Here, it is shown that the treatment of ions as…

Plasma Physics · Physics 2020-08-26 A. Stanier , L. Chacon , A. Le

There are many interesting physical processes which involve the generation of high density plasmas in large volumes. However, when modeling these systems numerically, the large densities and volumes present a significant computational…

Computational Physics · Physics 2007-05-23 A. E. Schulz , A. D. Greenwood , K. L. Cartwright , P. J. Mardahl

Many problems in astrophysics involve relativistic outflows. The plasma dynamics in these scenarios is critical to determine the conditions for the self-consistent evolution of the fields and particle acceleration. Advances in computer…

Astrophysics · Physics 2014-10-13 L. O. Silva

We introduce a quasi-static particle-in-cell (PIC) code -- WAND-PIC -- which does not suffer from some of the common limitations of many quasi-static PICs, such as the need for a predictor-corrector method in solving electromagnetic fields.…

Plasma Physics · Physics 2022-04-22 Tianhong Wang , Vladimir Khudik , Jihoon Kim , Gennady Shvets

Particle-in-cell methods couple mesh-based methods for the solution of continuum mechanics problems, with the ability to advect and evolve particles. They have a long history and many applications in scientific computing. However, they have…

Numerical Analysis · Mathematics 2019-09-12 R. Gassmoeller , E. Heien , E. G. Puckett , W. Bangerth

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

A simulation package employing a Particle in Cell (PIC) method is developed to study the high current beam transport and the dynamics of plasmas. This package includes subroutines those are suited for various planned projects at University…

Accelerator Physics · Physics 2016-06-21 N. Joshi

We present the standard electromagnetic Particle-in-Cell method, starting from the discrete approximation of derivatives on a uniform grid. The application to second-order, centered, finite-difference discretization of the equations of…

Computational Physics · Physics 2020-08-18 J. L. Vay

We present a geometric Particle-in-Cell (PIC) algorithm on two-dimensional (2D) unstructured meshes for studying electrostatic perturbations in magnetized plasmas. In this method, ions are treated as fully kinetic particles, and electrons…

Plasma Physics · Physics 2021-08-11 Zhenyu Wang , Hong Qin , Benjamin Sturdevant , C. S. Chang

The 3D quasi-static particle-in-cell (PIC) algorithm is a very efficient method for modeling short-pulse laser or relativistic charged particle beam-plasma interactions. In this algorithm, the plasma response to a non-evolving laser or…

Computational Physics · Physics 2021-02-03 Fei Li , Weiming An , Viktor K. Decyk , Xinlu Xu , Mark J. Hogan , Warren B. Mori

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 interaction of electrically charged particles with magnetic fields is a fundamental problem in several areas of physics. An example is the motion of energetic particles through a magnetized plasma. The most accurate and reliable way to…

Plasma Physics · Physics 2026-05-15 Andreas Shalchi

A second-order accurate divergence-conserving hybrid particle-in-cell code Maximus has been developed for microscopic modeling of collisionless plasmas. The main specifics of the code include a constrained transport algorithm for exact…

Computational Physics · Physics 2019-03-11 J. A. Kropotina , A. M. Bykov , A. M. Krassilchtchikov , K. P. Levenfish

The acceleration of protons and electrons in a reconnecting current sheet (RCS) is simulated with a particle-in-cell (PIC) 2D3V code for the proton-to-electron mass ratio of 100. The electro-magnetic configuration forming the RCS…

Solar and Stellar Astrophysics · Physics 2015-05-13 Taras V. Siversky , Valentina V. Zharkova

We have obtained an electromagnetic PIC (EM-PIC) algorithm based on time-space-extended particle in cell model. In this model particles are shaped objects extended over time and space around Lagrangian markers. Sources carried by these…

Plasma Physics · Physics 2011-09-09 J. Yazdanpanah

Particles and fields are standard components in numerical simulations like transport simulations in nuclear physics and have very well understood dynamics. Still, a common problem is the interaction between particles and fields due to their…

High Energy Physics - Phenomenology · Physics 2015-04-16 Christian Wesp , Hendrik van Hees , Alex Meistrenko , Carsten Greiner

Particle methods are a ubiquitous tool for solving the Vlasov-Poisson equation in comoving coordinates, which is used to model the gravitational evolution of dark matter in an expanding universe. However, these methods are known to produce…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-12 Andrew Myers , Phillip Colella , Brian Van Straalen
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