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The simulation of plasma physics is computationally expensive because the underlying physical system is of high dimensions, requiring three spatial dimensions and three velocity dimensions. One popular numerical approach is Particle-In-Cell…

Numerical Analysis · Mathematics 2023-12-25 Matthew J. Picklo , Qi Tang , Yanzeng Zhang , Jennifer K. Ryan , Xian-Zhu Tang

Non-neutral plasmas can excite many nonlinear plasma phenomena, e.g., collisionless shocks, sheath layers, solitons, and plasma plumes. It is a fundamental issue in fields such as astrophysics, space physics, nuclear fusion, and plasma…

Plasma Physics · Physics 2024-08-27 Jin-Long Jiao

The kinetic analyses of many-particle soft matter often employ many simulation studies of various physical phenomena which supplement the experimental limitations or compliment the theoretical findings of the study. Such simulations are…

Plasma Physics · Physics 2024-05-28 Allen Lobo , Vinod Kumar Sayal

Direct studies of intense laser-solid interactions is still of great challenges, because of the many coupled physical mechanisms, such as direct laser heating, ionization dynamics, collision among charged particles, and electrostatic or…

Plasma Physics · Physics 2017-03-16 D. Wu , X. T. He , W. Yu , S. Fritzsche

Active Flux (AF) is a modified Finite Volume method that evolves additional Degrees of Freedom (DoF) located on the cell interfaces to compute high-order approximations to the numerical fluxes through the respective interface. We present an…

Plasma Physics · Physics 2025-12-01 G. Grünwald , L. Hensel , M. Deisenhofer , S. Lautenbach , K. Kormann , R. Grauer

An independent control of the flux and energy of ions impacting on an object immersed in a plasma is often desirable for many industrial processes such as microelectronics manufacturing. We demonstrate that a simultaneous control of these…

Plasma Physics · Physics 2018-08-29 Sarveshwar Sharma , Igor Kaganovich , Alexander Khrabrov , Predhiman Kaw , Abhijit Sen

Based on the particle-in-cell (PIC) plasma simulation method, the speed-limited PIC (SLPIC) method delivers faster kinetic plasma simulation in cases where the particle distributions evolve slowly compared with the maximum stable PIC…

Computational Physics · Physics 2019-01-09 Gregory R. Werner , Thomas G. Jenkins , Andrew M. Chap , John R. Cary

We study the geometric particle-in-cell methods for an electrostatic hybrid plasma model. In this model, ions are described by the fully kinetic equations, electron density is determined by the Boltzmann relation, and space-charge effects…

Numerical Analysis · Mathematics 2026-03-26 Yingzhe Li

We propose a numerical method for kinetic plasma simulation in which the phase-space distribution function is represented by a low-rank tensor network with an adaptive level of compression. The Vlasov-Poisson system is advanced using Strang…

Computational Physics · Physics 2026-02-16 Erik M. Åsgrim , Luca Pennati , Marco Pasquale , Stefano Markidis

Previous studies of phase mixing of ion cyclotron (IC), Alfv\'enic, waves in the collisionless regime have established the generation of parallel electric field and hence acceleration of electrons in the regions of transverse density…

Astrophysics · Physics 2008-12-23 D. Tsiklauri , T. Haruki

While dissipation in collisional plasma is defined in terms of viscosity and resistivity, the exact functional form of dissipation i.e., the so-called dissipation function in nearly collisionless plasma is unknown. Nevertheless, previous…

We present the numerical simulations of coherent inverse Compton scattering (CICS) in a highly magnetized plasma process by means of a full three dimensional particle in cell code (PIC), which is mass and energy conservative. We used the…

Astrophysics · Physics 2007-05-23 R. Schopper , H. Ruhl , T. A. Kunzl , H. Lesch

The Particle-In-Cell (PIC) method for plasma simulation tracks particle phase space information using particle and grid data structures. High computational costs in 2D and 3D device-scale PIC simulations necessitate parallelization, with…

Computational Physics · Physics 2025-06-27 Libn Varghese , Bhaskar Chaudhury , Miral Shah , Mainak Bandyopadhyay

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…

Computational Physics · Physics 2020-08-18 J. L. Vay

In this article, we study a collisionless kinetic model for plasmas in the neighborhood of a cylindrical metallic Langmuir probe. This model consists in a bi-species Vlasov-Poisson equation in a domain contained between two cylinders with…

Analysis of PDEs · Mathematics 2022-02-11 Mehdi Badsi , Ludovic Godard-Cadillac

The use of explicit particle-in-cell (PIC) method for relativistic plasma simulations is restricted by numerical heating and instabilities that may significantly constrain the choice of time and space steps. To partially eliminate these…

Plasma Physics · Physics 2024-02-12 Arkady Gonoskov

A collisionless plasma is modeled by the Vlasov-Poisson system in one-dimension. A fixed background of positive charge, dependent only upon velocity, is assumed and the situation in which the mobile negative ions balance the positive charge…

Analysis of PDEs · Mathematics 2010-03-01 Stephen Pankavich

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

We present a study of the standard plasma physics test, Landau damping, using the Particle-In-Cell (PIC) algorithm. The Landau damping phenomenon consists of the damping of small oscillations in plasmas without collisions. In the PIC…

Plasma Physics · Physics 2023-03-23 Daniel S. Finn , Matthew G. Knepley , Joseph V. Pusztay , Mark F. Adams

Space-charge effects play an important role in high intensity particle accelerators and were studied using a variety of macroparticle tracking models. In this paper, we propose a symplectic particle-in-cell (PIC) model and compare this…

Accelerator Physics · Physics 2018-06-13 Ji Qiang