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A Particle-in-Cell (PIC) numerical simulation of the electron Weibel instability is applied in a frame of Darwin (radiationless) approximation of the self-consistent fields of sparse plasma. As a result, we were able to supplement the…

Plasma Physics · Physics 2010-06-29 L. V. Borodachev , D. O. Kolomiets

In this dissertation, a fully object-oriented, fully relativistic, multi-dimensional Particle-In-Cell code was developed and applied to answer key questions in plasma-based accelerator research. The simulations increase the understanding of…

Computational Physics · Physics 2015-03-03 Roy G. Hemker

Control over plasma asymmetry in a low-pressure capacitively coupled plasma (CCP) discharges is vital for many plasma processing applications. In this article, using the particle-in-cell simulation technique, we investigated the asymmetry…

Plasma Physics · Physics 2023-07-26 Sarveshwar Sharma , Nishant Sirse , Miles M Turner

A collisionless plasma is modeled by the Vlasov-Poisson system in three space dimensions. A fixed background of positive charge, which is independent of time and space, is assumed. The situation in which mobile negative ions balance the…

Analysis of PDEs · Mathematics 2015-05-14 Stephen Pankavich

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…

Plasma Physics · Physics 2026-05-19 Lee Ricketson , Jingwei Hu

This paper discusses temporally continuous and discrete forms of the speed-limited particle-in-cell (SLPIC) method first treated by Werner et al. [Phys. Plasmas 25, 123512 (2018)]. The dispersion relation for a 1D1V electrostatic plasma…

Plasma Physics · Physics 2021-08-31 Thomas G. Jenkins , Gregory R. Werner , John R. Cary

Particle-in-cell with Monte Carlo collisions (PIC/MCC) is a fully kinetic, particle based numerical simulation method with increasing popularity in the field of low temperature gas discharge physics. Already in its simplest form…

Plasma Physics · Physics 2022-06-15 Mate Vass , Peter Palla , Peter Hartmann

The resolution of the system given by Maxwell's equations and Vlasov equation in three dimensions can describe all the phenomena of interest for laser wakefield acceleration, with few exceptions (e.g. ionization). Such arduous task can be…

Plasma Physics · Physics 2020-09-23 Francesco Massimo , Imen Zemzemi , Arnaud Beck , Julien Dérouillat , Arnd Specka

In inertial confinement fusion (ICF), Thomson scattering (TS) is a widely used diagnostic technique for probing plasma conditions. We present a first-principles numerical approach to obtaining scattered light signals of ion acoustic…

The numerical solution of high dimensional Vlasov equation is usually performed by particle-in-cell (PIC) methods. However, due to the well-known numerical noise, it is challenging to use PIC methods to get a precise description of the…

Numerical Analysis · Mathematics 2015-10-20 Bei Wang , Greg Miller , Phil Colella

Particle-in-Cell (PIC) methods are widely used computational tools for fluid and kinetic plasma modeling. While both the fluid and kinetic PIC approaches have been successfully used to target either kinetic or fluid simulations, little was…

In this article, we introduce a novel dimensionality reduction formulation for the Poisson's equation in the Vlasov-Poisson system that yields a reduced-order particle-in-cell scheme. This scheme allows a remarkable reduction in the…

Computational Physics · Physics 2022-06-29 Maryam Reza , Farbod Faraji , Aaron Knoll

We present GPU implementations of two fast force calculation methods, based on series expansions of the Poisson equation. One is the Self-Consistent Field (SCF) method, which is a Fourier-like expansion of the density field in some basis…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Yohai Meiron , Baile Li , Kelly Holley-Bockelmann , Rainer Spurzem

We explore the possibilities of applying structure-preserving numerical methods to a plasma hybrid model with kinetic ions and mass-less fluid electrons satisfying the quasi-neutrality relation. The numerical schemes are derived by finite…

Numerical Analysis · Mathematics 2023-04-05 Yingzhe Li , Martin Campos Pinto , Florian Holderied , Stefan Possanner , Eric Sonnendrücker

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

This paper presents a recently developed particle simulation code package PIFE-PIC, which is a novel three-dimensional (3-D) Parallel Immersed-Finite-Element (IFE) Particle-in-Cell (PIC) simulation model for particle simulations of…

Mathematical Software · Computer Science 2020-11-23 Daoru Han , Xiaoming He , David Lund , Xu Zhang

Today's high-power laser systems are capable of reaching photon intensities up to $10^{22}$ W/cm^2, generating plasmas when interacting with material. The high intensity and ultrashort laser pulse duration (fs) make direct observation of…

The three-dimensional evolution of a pure electron plasma is studied by means of a particle-in-cell code which solves the drift-Poisson system where kinetic effects in the motion parallel to the magnetic field are taken into account.…

Plasma Physics · Physics 2007-05-23 Massimiliano Rome , Roberto Pozzoli , Mauro Pravettoni , Yuri Tsidulko

We proposed a simple and efficient modular single-source surface integral equation (SS-SIE) formulation for electromagnetic analysis of arbitrarily connected penetrable and perfectly electrical conductor (PEC) objects in two-dimensional…

Computational Engineering, Finance, and Science · Computer Science 2022-02-23 Zekun Zhu , Aipeng Sun , Xiaochao Zhou , Shunchuan Yang , Zhizhang , Chen

Continuum solvent models have become a standard technique in the context of electronic structure calculations, yet, no implementations have been reported capable to perform molecular dynamics at solid-liquid interfaces. We propose here such…

Chemical Physics · Physics 2015-05-13 Veronica M. Sanchez , Mariela Sued , Damian A. Scherlis