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Relativistic dynamics of a charged particle in time-dependent electromagnetic fields has theoretical significance and a wide range of applications. It is often multi-scale and requires accurate long-term numerical simulations using…

Plasma Physics · Physics 2018-10-24 Ruili Zhang , Yulei Wang , Yang He , Jianyuan Xiao , Jian Liu , Hong Qin , Yifa Tang

We present results from a fully kinetic particle-in-cell (PIC) simulation of direct current magnetron sputtering (dcMS) in a 2D cylindrically symmetric geometry. The particle-in-cell model assumes an electrostatic approximation and includes…

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

We describe a method for symplectic tracking of charged particles through static electric and magnetic fields. The method can be applied to cases where the fields have a dependence on longitudinal as well as transverse position, and where…

Accelerator Physics · Physics 2018-08-22 Andrzej Wolski , Alex Herrod

We summarize a series of numerical experiments of collisional dynamics in dense stellar systems such as globular clusters (GCs) and in weakly collisional plasmas using a novel simulation technique, the so-called Multi-particle collision…

The particle-in-cell (PIC) method is successfully used to study magnetized plasmas. However, this requires large computational costs and limits simulations to short physical run-times and often to setups in less than three spatial…

High Energy Astrophysical Phenomena · Physics 2023-01-24 Rouven Lemmerz , Mohamad Shalaby , Timon Thomas , Christoph Pfrommer

Next-generation high-power lasers that can be focused to intensities exceeding 10^23 W/cm^2 are enabling new physics and applications. The physics of how these lasers interact with matter is highly nonlinear, relativistic, and can involve…

Particle-In-Cell (PIC) methods are frequently used for kinetic, high-fidelity simulations of plasmas. Implicit formulations of PIC algorithms feature strong conservation properties, up to numerical round-off errors, and are not subject to…

Plasma Physics · Physics 2021-10-26 R. Kube , R. M. Churchill , B. Sturdevant

Symplectic integrator plays a pivotal role in the long-term tracking of charged particles within accelerators. To get symplectic maps in accurate simulation of single-particle trajectories, two key components are addressed: precise…

Accelerator Physics · Physics 2025-03-10 Jie Li , Kedong Wang , Kai Wang , Xu Zhang , Xueqing Yan , Kun Zhu

The Particle-in-Cell (PIC) method was used to study two different ion thruster concepts - Stationary Plasma Thrusters (SPT) and High Efficiency Multistage Plasma Thrusters (HEMP-T), in particular the plasma properties in the discharge…

Plasma Physics · Physics 2015-05-14 K. Matyash , R. Schneider , A. Mutzke , O. Kalentev , F. Taccogna , N. Koch , M. Schirra

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

Astrophysical shocks are often studied in the high Mach number limit but weakly compressive fast shocks can occur in magnetic reconnection outflows and are considered to be a site of particle energization in solar flares. Here we study the…

Solar and Stellar Astrophysics · Physics 2012-06-26 Jaehong Park , Jared C. Workman , Eric G. Blackman , Chuang Ren , Robert Siller

We report a new particle in cell (PIC) method based on the semi-implicit approach. The novelty of the new method is that unlike any of its semi-implicit predecessors at the same time retains the explicit computational cycle and conserves…

Computational Physics · Physics 2017-03-08 Giovanni Lapenta

Context. Simulating solar flares, which involve large-scale dynamics and small-scale magnetic reconnection, poses significant computational challenges. Aims. This study aims to develop an explicit Particle-In-Cell (PIC) solver within the…

Solar and Stellar Astrophysics · Physics 2025-04-30 Michael Haahr , Boris V. Gudiksen , Åke 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…

In this paper, the electrical characteristics of the Gaseous Electronics Conference (GEC) reference cell with impedance matching are investigated through a two-dimensional electrostatic implicit Particle-in-Cell/Monte Carlo Collision…

Plasma Physics · Physics 2023-10-10 Zili Chen , Hongyu Wang , Shimin Yu , Yu Wang , Zhipeng Chen , Wei Jiang , Julian Schulze , Ya Zhang

We design and develop a new Particle-in-Cell (PIC) method for plasma simulations using Deep-Learning (DL) to calculate the electric field from the electron phase space. We train a Multilayer Perceptron (MLP) and a Convolutional Neural…

Plasma Physics · Physics 2021-07-07 Xavier Aguilar , Stefano Markidis

This paper is devoted to the numerical symplectic approximation of the charged-particle dynamics (CPD) with arbitrary electromagnetic fields. By utilizing continuous-stage methods and exponential integrators, a general class of symplectic…

Numerical Analysis · Mathematics 2022-07-05 Ting Li , Bin Wang

Space charge effects, being one of the most significant collective effects, play an important role in high intensity cyclotrons. However, for cyclotrons with small turn separation, other existing effects are of equal importance.…

Accelerator Physics · Physics 2014-11-20 J. J. Yang , A. Adelmann , M. Humbel , M. Seidel , T. J. Zhang

The identification of pre-acceleration mechanisms for cosmic ray ions in supernova remnant shocks is an important problem in astrophysics. Recent particle-in-cell (PIC) shock simulations have shown that inclusion of the full electron…

Astrophysics · Physics 2009-11-10 R. E. Lee , S. C. Chapman , R. O. Dendy
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