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Particle-in-cell methods couple mesh-based methods for the solution of continuum mechanics problems, with the ability to advect and evolve particles. They have a long history and many applications in scientific computing. However, they have…

Numerical Analysis · Mathematics 2019-09-12 R. Gassmoeller , E. Heien , E. G. Puckett , W. Bangerth

Phenomena taking place in capacitively coupled plasmas with large electrodes and driven at very high frequencies are studied numerically utilizing a novel energy- and charge-conserving implicit fully electromagnetic particle-in-cell / Monte…

Plasma Physics · Physics 2023-05-17 D. Eremin , E. Kemaneci , M. Matsukuma , T. Mussenbrock , R. P. Brinkmann

The particle-in-cell approach has proven effective at modeling neutron star and black hole magnetospheres from first principles, but global simulations are plagued with an unrealistically small separation between the scales where…

High Energy Astrophysical Phenomena · Physics 2024-10-09 Adrien Soudais , Benoît Cerutti , Ioannis Contopoulos

In many problems involving particle accelerators and relativistic plasmas, the accurate modeling of relativistic particle motion is essential for accurate physical predictions. Here, we extend a charge-conserving finite element time-domain…

Computational Physics · Physics 2018-01-09 D. Y. Na , H. Moon , Y. A. Omelchenko , F. L. Teixeira

Cosmic-ray acceleration processes in astrophysical plasmas are often investigated with fully-kinetic or hybrid kinetic numerical simulations, which enable us to describe a detailed microphysics of particle energization mechanisms. Tracing…

High Energy Astrophysical Phenomena · Physics 2025-02-12 Gabriel Torralba Paz , Artem Bohdan , Jacek Niemiec

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

Smoothing short-wavelength charge density variations can stabilize explicit electrostatic particle-in-cell (PIC) plasma simulations against grid heating and cold beam instabilities, which cause unphysical heating when the Debye length is…

Plasma Physics · Physics 2025-03-10 Gregory R. Werner , Luke C. Adams , John R. Cary

Resonant scattering of energetic protons off magnetic irregularities is the main process in cosmic ray diffusion. The typical theoretical description uses Alfven waves in the low frequency limit. We demonstrate that the usage of…

Solar and Stellar Astrophysics · Physics 2014-05-09 Cedric Schreiner , Felix Spanier

We present a detailed strong and weak scaling analysis of PICCANTE, an open source, massively parallel, fully-relativistic Particle-In-Cell (PIC) code. PIC codes are widely used in plasma physics and astrophysics to study the cases where…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-27 Andrea Sgattoni , Luca Fedeli , Stefano Sinigardi , Alberto Marocchino , Andrea Macchi , Volker Weinberg , Anupam Karmakar

We use particle-in-cell (PIC) simulations of a collisionless, electron-ion plasma with a decreasing background magnetic field, $B$, to study the effect of velocity-space instabilities on the viscous heating and thermal conduction of the…

High Energy Astrophysical Phenomena · Physics 2018-02-27 Mario Riquelme , Eliot Quataert , Daniel Verscharen

Gyrocenter dynamics of charged particles plays a fundamental role in plasma physics. In particular, accuracy and conservation of energy are important features for correctly performing long-time simulations. For this purpose, we here propose…

Numerical Analysis · Mathematics 2020-05-26 Luigi Brugnano , Felice Iavernaro , Ruili Zhang

Particle-in-cell methods with stochastic collision models are commonly used to simulate collisional plasma dynamics, with applications ranging from hypersonic flight to semiconductor manufacturing. Code verification of such methods is…

Computational Physics · Physics 2026-05-26 Brian A. Freno , William J. McDoniel , Christopher H. Moore , Neil R. Matula

We describe a method for coupling an embedded domain in a magnetohydrodynamic (MHD) simulation with a particle-in-cell (PIC) method. In this two-way coupling we follow the work of Daldorff et al. in which the PIC domain receives its initial…

Computational Physics · Physics 2017-10-25 Kirit Makwana , Rony Keppens , Giovanni Lapenta

A novel electromagnetic particle-in-cell algorithm has been developed for fully kinetic plasma simulations on unstructured (irregular) meshes in complex body-of-revolution geometries. The algorithm, implemented in the BORPIC++ code,…

Numerical Analysis · Mathematics 2024-05-16 Dong-Yeop Na , Fernando L. Teixeira , Yuri A. Omelchenko

A hybrid PIC-fluid model is proposed for three dimensional numerical simulation of laser-plasma interaction. Ions are treated kinetically, electrons as a ten-moment fluid, capturing ion-scale dynamics, pressure anisotropy, and…

Plasma Physics · Physics 2026-01-06 Andrey Sladkov

Wereportonanewmultiscalemethodapproachforthestudyofsystemswith wide separation of short-range forces acting on short time scales and long-range forces acting on much slower scales. We consider the case of the Poisson-Boltzmann equation that…

Computational Physics · Physics 2018-10-22 Giovanni Lapenta , Wei Jiang

In this paper, the effect of finite electron temperature on the space-time evolution and breaking of a large amplitude relativistically intense electron plasma wave has been studied, using a 1-D relativistic Particle-in-Cell (PIC) code. We…

Plasma Physics · Physics 2018-02-16 Arghya Mukherjee , Sudip Sengupta

Particle-mesh methods, such as the particle-in-cell (PIC) method, cannot retain exact pairwise interaction at sub-cell scales. For dense nonneutral relativistic electron bunches, this makes it difficult to accurately capture the…

Plasma Physics · Physics 2026-05-08 Yinjian Zhao , Yibo Liang , Yanan Zhang , Xiaochun Ma , Hui Liu

The $\delta f$ particle-in-cell algorithm has been a useful tool in studying the physics of plasmas, particularly turbulent magnetized plasmas in the context of gyrokinetics. The reduction in noise due to not having to resolve the full…

Plasma Physics · Physics 2016-05-25 George J. Wilkie , William Dorland

A physical model based on a Monte-Carlo approach is proposed to calculate the ionization dynam- ics of warm dense matters (WDM) within particle-in-cell simulations, and where the impact (col- lision) ionization (CI), electron-ion…

Plasma Physics · Physics 2017-03-08 D. Wu , X. T. He , W. Yu , S. Fritzsche
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