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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 consider the two-dimensional Vlasov-Poisson system to model a two-component plasma whose distribution function is constant with respect to the third space dimension. First, we show how this two-dimensional Vlasov-Poisson system can be…

Mathematical Physics · Physics 2021-10-12 Patrik Knopf

We compare different Poisson solvers within the context of an electrostatic Vlasov-Poisson system. These schemes are implemented as part of the IPPL (Independent Parallel Particle Layer) library (Frey et al., 2024), which provides…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 Sonali Mayani , Paul Fischill , Sriramkrishnan Muralikrishnan , Andreas Adelmann

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

The Vlasov-Poisson system describes the time evolution of a plasma in the so-called collisionless regime. The investigation of a high-temperature plasma that is influenced by an exterior magnetic field is one of the most significant aspects…

Optimization and Control · Mathematics 2024-07-11 Jan Bartsch , Patrik Knopf , Stefania Scheurer , Jörg Weber

We present a numerical framework for the simulation of collisional plasma dynamics, based on a coupling between Direct Simulation Monte Carlo (DSMC) and Particle-in-Cell (PIC) methods for the Vlasov-Maxwell-Landau system. The approach…

Computational Physics · Physics 2025-10-28 Andrea Medaglia , Lorenzo Pareschi , Mattia Zanella

Incoherent Thomson scattering is a non-intrusive technique commonly used for measuring local plasma density. Within low-density, low-temperature plasma's and for sufficient laser intensity, the laser may perturb the local electron density…

Plasma Physics · Physics 2018-05-29 Andrew T. Powis , Mikhail N. Shneider

Examining energization of kinetic plasmas in phase space is a growing topic of interest, owing to the wealth of data in phase space compared to traditional bulk energization diagnostics. Via the field-particle correlation (FPC) technique…

Collisionless plasmas, mostly present in astrophysical and space environments, often require a kinetic treatment as given by the Vlasov equation. Unfortunately, the six-dimensional Vlasov equation can only be solved on very small parts of…

Plasma Physics · Physics 2023-05-03 Simon Lautenbach , Rainer Grauer

In this paper, we develop a novel numerical framework, namely the stochastic interacting particle-field method with particle-in-cell acceleration (SIPF-PIC), for the efficient simulation of the three-dimensional (3D) parabolic-parabolic…

Numerical Analysis · Mathematics 2026-02-11 Jingyuan Hu , Zhongjian Wang , Jack Xin , Zhiwen Zhang

The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains a significant challenge in nuclear fusion research. To accurately capture the plasmas dynamics one is required to solve the Vlasov equation for…

Plasma Physics · Physics 2024-04-30 Rostislav-Paul Wilhelm , Jan Eifert , Manuel Torrilhon

The Energy Conserving semi-implicit method (ECsim), presented by Lapenta in 2017, is a Particle in Cell (PIC) algorithm for the simulation of plasmas. Energy conservation is achieved within a semi-implicit formulation that does not require…

Plasma Physics · Physics 2023-01-24 Giovanni Lapenta

We introduce a quasi-static particle-in-cell (PIC) code -- WAND-PIC -- which does not suffer from some of the common limitations of many quasi-static PICs, such as the need for a predictor-corrector method in solving electromagnetic fields.…

Plasma Physics · Physics 2022-04-22 Tianhong Wang , Vladimir Khudik , Jihoon Kim , Gennady Shvets

Particle methods are a ubiquitous tool for solving the Vlasov-Poisson equation in comoving coordinates, which is used to model the gravitational evolution of dark matter in an expanding universe. However, these methods are known to produce…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-12 Andrew Myers , Phillip Colella , Brian Van Straalen

Voltage breakdown in high-voltage pulsed vacuum systems arises from nonlinear multiscale interactions among circuit dynamics, kinetic plasma evolution, and ion-induced secondary electron emission (SEE) at electrode surfaces. Although…

Plasma Physics · Physics 2026-03-26 Hongbin Kim , Soung Yong Yun , Jaeguk Lee , Dong-Yeop Na

Cellular electrophysiology is often modeled using the cable equations. The cable model can only be used when ionic concentration effects and three dimensional geometry effects are negligible. The Poisson model, in which the electrostatic…

Neurons and Cognition · Quantitative Biology 2009-01-27 Yoichiro Mori

An electrostatic, implicit particle-in-cell (PIC) model for collisionless, fully magnetized, paraxial plasma expansions in a magnetic nozzle is introduced with exact charge, energy, and magnetic moment conservation properties. The approach…

Plasma Physics · Physics 2024-05-14 Pedro Jimenez , Luis Chacon , Mario Merino

A new approach to the kinetic simulation of plasmas in complex geometries, based on the Particle-in- Cell (PIC) simulation method, is explored. In the two dimensional (2d) electrostatic version of our method, called the Arbitrary…

Plasma Physics · Physics 2015-06-03 C. A. Fichtl , J. M. Finn , K. L. Cartwright

This paper introduces a novel formulation of the Particle-In-Cell (PIC) method for the modeling of relativistic plasmas, which leverages the ability of the Pseudo-Spectral Analytical Time-Domain solver (PSATD) to handle arbitrary time…

Plasma Physics · Physics 2023-12-29 Olga Shapoval , Edoardo Zoni , Remi Lehe , Maxence Thevenet , Jean-Luc Vay

Particle-in-cell (PIC) simulations are a superior tool to model kinetics-dominated plasmas in relativistic and ultrarelativistic laser-solid interactions (dimensionless vectorpotential $a_0 > 1$). The transition from relativistic to…

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