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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

In this paper, we introduce and analyze a class of numerical schemes that demonstrate remarkable superiority in terms of efficiency, the preservation of positivity, energy stability, and high-order precision to solve the time-dependent…

Numerical Analysis · Mathematics 2025-07-01 Waixiang Cao , Yuzhe Qin , Minqiang Xu

With the great development of parallel computing techniques, the particle-particle (PP) model has been successfully applied in a number of plasma applications. Comparing to particle-mesh (PM) models, for example the widely used…

Plasma Physics · Physics 2025-06-10 Yanan Zhang , Xiaochun Ma , Hui Liu , Yinjian Zhao

For decades, the Vlasov-Darwin model has been recognized to be attractive for particle-in-cell (PIC) kinetic plasma simulations in non-radiative electromagnetic regimes, to avoid radiative noise issues and gain computational efficiency.…

Computational Physics · Physics 2016-05-04 Guangye Chen , Luis Chacon

Two-dimensional particle-in-cell (PIC) simulations explore the collisionless tearing instability developing in a Harris equilibrium configuration in a pair (electron-positron) plasma, with no guide field, for a range of parameters from…

Plasma Physics · Physics 2024-10-10 K. M. Schoeffler , B. Eichmann , F. Pucci , M. E. Innocenti

We have formulated the problem of generating periodic dense paritcle packings as an optimization problem called the Adaptive Shrinking Cell (ASC) formulation [S. Torquato and Y. Jiao, Phys. Rev. E {\bf 80}, 041104 (2009)]. Because the…

Statistical Mechanics · Physics 2010-12-15 Sal Torquato , Yang Jiao

In the present work, we consider multi-scale computation and convergence for nonlinear time-dependent thermo-mechanical equations of inhomogeneous shells possessing temperature-dependent material properties and orthogonal periodic…

Numerical Analysis · Mathematics 2023-08-23 Hao Dong , Xiaofei Guan , Yufeng Nie

For simulating laser-plasma interactions, we developed a parallel, multi-dimensional, fully relativistically particle-in-cell (PIC) code, named YUNIC. The core algorithm is introduced, including field solver, particle pusher, field…

Plasma Physics · Physics 2021-04-02 Huai-Hang Song , Wei-Min Wang , Yu-Tong Li

Global particle-in-cell (PIC) simulations of pulsar magnetospheres are performed with a volume, surface and pair production-based plasma injection schemes to systematically investigate the transition between electrosphere and force-free…

High Energy Astrophysical Phenomena · Physics 2024-10-16 Fábio Cruz , Thomas Grismayer , Alexander Y. Chen , Anatoly Spitkovsky , Ricardo A. Fonseca , Luis O. Silva

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

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

In this paper, we develop an asymptotic-preserving and energy-conserving (APEC) Particle-In-Cell (PIC) algorithm for the Vlasov-Maxwell system. This algorithm not only guarantees that the asymptotic limiting of the discrete scheme is a…

Plasma Physics · Physics 2023-06-14 Lijie Ji , Zhiguo Yang , Zhuoning Li , Dong Wu , Shi Jin , Zhenli Xu

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 field theory and the associated structure-preserving geometric Particle-In-Cell (PIC) algorithm are developed to study low frequency electrostatic perturbations with fully kinetic ions and adiabatic electrons in magnetized plasmas. The…

Plasma Physics · Physics 2020-01-08 Jianyuan Xiao , Hong Qin

Particle-in-Cell (PIC) simulations rely on accurate solutions of the electrostatic Poisson equation, yet accuracy often deteriorates near irregular Dirichlet boundaries on Cartesian meshes. While much research has addressed discretization…

Numerical Analysis · Mathematics 2026-01-14 Kai Zhang , Tao Xiao , Weizong Wang , Bijiao He

A procedure for largely suppressing the numerical Cherenkov instability in finite difference time-domain (FDTD) particle-in-cell (PIC) simulations of cold, relativistic beams is derived, and residual growth rates computed and compared with…

Plasma Physics · Physics 2014-07-29 Brendan B. Godfrey , Jean-Luc Vay

We introduce $\texttt{A}$strophysical $\texttt{H}$ybrid-$\texttt{K}$inetic simulations with the $\texttt{flASH}$ code ($\texttt{AHKASH}$) -- a new Hybrid particle-in-cell (PIC) code developed within the framework of the multi-physics code…

Instrumentation and Methods for Astrophysics · Physics 2024-09-24 Radhika Achikanath Chirakkara , Christoph Federrath , Amit Seta

We present a new hybrid algorithm implemented in the code CHIEF (Code Hybrid with Inertial Electron Fluid) for simulations of electron-ion plasmas. The algorithm treats the ions kinetically, modeled by the Particle-in-Cell (PiC) method, and…

Plasma Physics · Physics 2018-02-27 P. A. Muñoz , N. Jain , P. Kilian , J. Büchner

Particle-in-Cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we developed a canonical symplectic PIC method for the…

The Particle-In-Cell (PIC) method has been developed by Oscar Buneman, Charles Birdsall, Roger W. Hockney, and John Dawson in the 1950s and, with the advances of computing power, has been further developed for several fields such as…

High Energy Astrophysical Phenomena · Physics 2021-07-20 Kenichi Nishikawa , Ioana Dutan , Christoph Koehn , Yosuke Mizuno
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