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Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-in-Cell algorithm that is intrinsically free of the Numerical Cherenkov…

A recent paper by Huang et al. [Computer Physics Communications 207, 123 (2016)] thoroughly analyzed the Finite Grid Instability(FGI) and spectral fidelity of standard Particle-In-Cell (PIC) methods. Numerical experiments were carried out…

等离子体物理 · 物理学 2019-04-02 Jianyuan Xiao , Hong Qin

In this paper, we present three-dimensional (3D) Particle-In-Cell (PIC) simulations to study the stability of 2D Bernstein-Greene-Kruskal (BGK) modes in a magnetized plasma with a finite background magnetic field. The simulations were…

等离子体物理 · 物理学 2024-10-23 M. T. Franciscovich , J. McClung , K. Germaschewski , C. S. Ng

In many problems involving particle accelerators and relativistic plasmas, the accurate modeling of relativistic particle motion is essential for accurate physical predictions. Here, we extend a charge-conserving finite element time-domain…

计算物理 · 物理学 2018-01-09 D. Y. Na , H. Moon , Y. A. Omelchenko , F. L. Teixeira

Cherenkov imaging detectors will continue to play a central role for particle identification in future particle and nuclear physics experiments. Growing demands on momentum coverage, timing precision, radiation tolerance, and sustainability…

仪器与探测器 · 物理学 2026-03-27 Chandradoy Chatterjee

Particle-in-cell (PIC) simulations are essential for studying kinetic plasma processes, but they often suffer from statistical noise, especially in plasmas with fast flows. We have also found that the typical central difference scheme used…

计算物理 · 物理学 2025-06-16 Yuxi Chen , Hongyang Zhou , Gabor Toth

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…

等离子体物理 · 物理学 2026-01-28 Szilárd Majorosi , Nasr Hafz , Zsolt Lécz

We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than…

等离子体物理 · 物理学 2016-05-04 Remi Lehe , Manuel Kirchen , Igor A. Andriyash , Brendan B. Godfrey , Jean-Luc Vay

The present paper is devoted to the convergence analysis of a class of asymptotic preserving particle schemes [Filbet \& Rodrigues, SIAM J. Numer. Anal., 54 (2) (2016)] for the Vlasov equation with a strong external magnetic field. In this…

数值分析 · 数学 2020-03-23 Francis Filbet , Luis Miguel Rodrigues , Hamed Zakerzadeh

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…

等离子体物理 · 物理学 2024-10-10 K. M. Schoeffler , B. Eichmann , F. Pucci , M. E. Innocenti

In this paper, phenomenological developments are used to explore several aspects of the relative particle dispersion (RPD) in different physical fully-developed turbulence (FDT) situations. The role played by the FDT cascade physics…

流体动力学 · 物理学 2015-08-06 Bhimsen Shivamoggi

We present 2D, ideal-MHD numerical simulations of the Parker instability in a multi-component warm disk model. The calculations were done using two numerical codes with different algorithms, TVD and ZEUS-3D. The outcome of the numerical…

天体物理学 · 物理学 2009-10-31 Alfredo Santillan , Jongsoo Kim , Jose Franco , Marco Martos , S. S. Hong , Dongsu Ryu

We carry out Particle-in-Cell (PIC) simulations to study the instabilities associated with a 2-D sheared electron flow configuration against a neutralizing background of ions. Both weak and strong relativistic flow velocities are…

等离子体物理 · 物理学 2016-08-24 Chandrasekhar Shukla , Amita Das , Kartik Patel

The traditional finite-difference time-domain (FDTD) method is constrained by the Courant-Friedrich-Levy (CFL) condition and suffers from the notorious staircase error in electromagnetic simulations. This paper proposes a three-dimensional…

计算工程、金融与科学 · 计算机科学 2021-12-08 Hanhong Liu , Xiaoying Zhao , Xiang-Hua Wang , Shunchuan Yang , Zhizhang , Chen

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…

计算物理 · 物理学 2020-08-18 J. L. Vay

We use particle-in-cell (PIC) simulations of a collisionless, electron-ion plasma with a decreasing background magnetic field, $B$, to study the effect of velocity-space instabilities on the viscous heating and thermal conduction of the…

高能天体物理现象 · 物理学 2018-02-27 Mario Riquelme , Eliot Quataert , Daniel Verscharen

The $\delta f$ particle-in-cell algorithm has been a useful tool in studying the physics of plasmas, particularly turbulent magnetized plasmas in the context of gyrokinetics. The reduction in noise due to not having to resolve the full…

等离子体物理 · 物理学 2016-05-25 George J. Wilkie , William Dorland

Particle-in-Cell (PIC) methods have achieved widespread recognition as simple and flexible approaches to model collisionless plasma physics in fully kinetic simulations of astrophysical environments. However, in many situations the standard…

We extend the recently-developed explicit, energy-conserving particle-in-cell (PIC) scheme of [1] to the relativistic Vlasov-Maxwell system. As in the non-relativistic case, the method is built on an optimization problem that is…

等离子体物理 · 物理学 2026-05-19 Lee Ricketson , Jingwei Hu

Energy conserving particle-in-cell schemes are constructed for a class of reduced relativistic Vlasov--Maxwell equations of laser-plasma interaction. Discrete Poisson equation is also satisfied by the numerical solution. Specifically,…

数值分析 · 数学 2022-11-30 Yingzhe Li