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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…

Plasma Physics · Physics 2024-10-23 M. T. Franciscovich , J. McClung , K. Germaschewski , C. S. Ng

Electrostatic structures have been observed in many regions of space plasmas, including the solar wind, the magnetosphere, the auroral acceleration region, and in association with shocks, turbulence, and magnetic reconnection. Due to…

Space Physics · Physics 2015-05-28 C. S. Ng , S. J. Soundararajan , E. Yasin

A new model, inspired by the structure of galactic disks, for three-dimensional Bernstein-Greene-Kruskal (BGK) modes in a plasma with a uniform finite background magnetic field is presented. These modes are exact nonlinear solutions of the…

Plasma Physics · Physics 2024-10-31 C. S. Ng

Electrostatic structures have been observed in many regions of space plasmas, including the solar wind, the magnetosphere, the auroral acceleration region. One possible theoretical description of some of these structures is the concept of…

Plasma Physics · Physics 2020-02-06 C. S. Ng

This paper deals with the numerical resolution of the Vlasov-Poissonsystem with a strong external magnetic field by Particle-In-Cell(PIC) methods. In this regime, classical PIC methods are subject tostability constraints on the time and…

Numerical Analysis · Mathematics 2015-11-24 Francis Filbet , Luis Miguel Rodrigues

A one-dimensional, collisionless plasma given by the Vlasov-Poisson system is considered and the stability properties of periodic steady state solutions known as Bernstein-Greene-Kruskal (BGK) waves are investigated. Sufficient conditions…

Analysis of PDEs · Mathematics 2016-04-18 Stephen Pankavich , Robert Allen

An unstable one-dimensional Bernstein-Greene-Kruskal (BGK) mode has been studied through high-precision numerical simulations. The initial turbulent, periodic equilibrium state is obtained by solving a Vlasov-Poisson system for initially…

Plasma Physics · Physics 2025-12-15 Sofia Zanelli , Gabriele Celebre , Sergio Servidio , Francesco Valentini

We investigate the Two-Stream Instability in a strongly coupled plasma using classical molecular dynamics simulations with long-range Coulomb interactions between particles. The nonlinear evolution of the instability is identified by the…

Plasma Physics · Physics 2025-12-23 Ajaz Mir , Rauoof Wani , Sanat Tiwari , Abhijit Sen

Internal kink instabilities have been studied in straight tokamak geometry employing an electromagnetic gyrokinetic particle-in-cell (PIC) code. The ideal-MHD internal kink mode and the collisionless $m = 1$ tearing mode have been…

Plasma Physics · Physics 2015-06-11 Alexey Mishchenko , Alessandro Zocco

Bernstein-Kruskal-Greene (or BGK) modes are ubiquitous nonlinear solutions for the 1D electrostatic Vlasov equation, with the particle distribution function $f$ given as a function of the particle energy. Here, we consider other solutions…

Plasma Physics · Physics 2019-10-22 Benjamin J. Q. Woods

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

Nonlinear electron kinetic structures are regularly observed in space and experimental magnetized plasmas, called electron phase-space holes (EHs). The existence of EHs is conditioned and varies according to the ambient magnetic field and…

Plasma Physics · Physics 2023-10-19 Gaëtan Gauthier , Thomas Chust , Olivier Le Contel , Philippe Savoini

We propose a class of Particle-In-Cell (PIC) methods for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic field with fixed direction, where we focus on the motion of particles in the plane orthogonal to the…

Numerical Analysis · Mathematics 2017-01-25 Francis Filbet , Luis Rodrigues

Nonlinear interaction of a low density electron beam with a uniform plasma is studied using two-dimensional particle-in-cell (PIC) simulations. We focus on formation of coherent phase space structures in the case, when a wide…

Plasma Physics · Physics 2012-05-21 I. V. Timofeev

The growth and saturation of Buneman-type instabilities is examined with a particle-in-cell (PIC) simulation for parameters that are representative for the foreshock region of fast supernova remnant (SNR) shocks. A dense ion beam and the…

Solar and Stellar Astrophysics · Physics 2015-06-05 M. E. Dieckmann , A. Bret , G. Sarri , E. Perez Alvaro , I. Kourakis , M. Borghesi

We study with particle-in-cell (PIC) simulations the stability of fast magnetosonic shocks. They expand across a collisionless plasma and an orthogonal magnetic field that is aligned with one of the directions resolved by the 2D…

Plasma Physics · Physics 2023-07-17 M E Dieckmann , C Huete , F Cobos , A Bret , D Folini , B Eliasson , R Walder

An instability driven by the thermal anisotropy of a single electron species is investigated in a 2D particle-in-cell (PIC) simulation. This instability is the one considered by Weibel and it differs from the beam driven filamentation…

High Energy Astrophysical Phenomena · Physics 2015-05-19 A Stockem , M E Dieckmann , R Schlickeiser

An integral equation method is presented for the 1D steady-state Poisson-Nernst-Planck equations modeling ion transport through membrane channels. The differential equations are recast as integral equations using Green's 3rd identity…

Numerical Analysis · Mathematics 2023-04-11 Zhen Chao , Weihua Geng , Robert Krasny

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…

Plasma Physics · Physics 2016-08-24 Chandrasekhar Shukla , Amita Das , Kartik Patel

The pseudo-spectral analytical time-domain (PSATD) particle-in-cell (PIC) algorithm solves the vacuum Maxwell's equations exactly, has no Courant time-step limit (as conventionally defined), and offers substantial flexibility in plasma and…

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