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Space plasma simulations have seen an increase in the use of magnetohydrodynamic (MHD) with embedded Particle-in-Cell (PIC) models. This combined MHD-EPIC algorithm simulates some regions of interest using the kinetic PIC method while…

Plasma Physics · Physics 2021-09-15 Yinsi Shou , Valeriy Tenishev , Yuxi Chen , Gabor Toth , Natalia Ganushkina

Collisionless magnetic reconnection typically requires kinetic treatments that are, in general, computationally expensive compared to fluid-based models. In this study, we use the magnetohydrodynamics with adaptively embedded…

Plasma Physics · Physics 2023-05-30 Dion Li , Yuxi Chen , Chuanfei Dong , Liang Wang , Gabor Toth

We formulate a magnetohydrodynamic-particle-in-cell (MHD-PIC) method for describing the interaction between collisionless cosmic ray (CR) particles and a thermal plasma. The thermal plasma is treated as a fluid, obeying equations of ideal…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Xue-Ning Bai , Damiano Caprioli , Lorenzo Sironi , Anatoly Spitkovsky

A novel adaptive technique for electromagnetic Particle In Cell (PIC) plasma simulations is presented here. Two main issues are identified in designing adaptive techniques for PIC simulation: first, the choice of the size of the particle…

Plasma Physics · Physics 2015-06-04 M. E. Innocenti , G. Lapenta , S. Markidis , A. Beck , A. Vapirev

We present the formulation, algorithm and numerical tests of the magnetohydrodynamic-particle-in-cell (MHD-PIC) method with particles treated under the guiding center approximation, which we term the MHD-gPIC method, and it is implemented…

High Energy Astrophysical Phenomena · Physics 2025-10-20 Zitao Hu , Xue-Ning Bai , Xiaochen Sun

Simulations have played a critical role in the advancement of our knowledge of magnetic reconnection. However, due to the inherently multiscale nature of reconnection, it is impossible to simulate all physics at all scales. For this reason,…

When supersonic plasma flows collide, many physical processes contribute to the morphology of the resulting shock. One of these processes is the acceleration of non-thermal ions, which will, eventually, reach relativistic speeds and become…

High Energy Astrophysical Phenomena · Physics 2025-09-16 Allard Jan van Marle

Magnetic reconnection is a multiscale phenomenon where fluid- and particle-scale processes interact. The particle-in-cell (PIC) method, capable of resolving kinetic (particle-scale) physics, is extensively used to study the kinetic effects…

Solar and Stellar Astrophysics · Physics 2025-10-17 Keita Akutagawa , Shinsuke Imada , Munehito Shoda

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…

We design and develop a new Particle-in-Cell (PIC) method for plasma simulations using Deep-Learning (DL) to calculate the electric field from the electron phase space. We train a Multilayer Perceptron (MLP) and a Convolutional Neural…

Plasma Physics · Physics 2021-07-07 Xavier Aguilar , Stefano Markidis

We use the MHD with embedded particle-in-cell model (MHD-EPIC) to study the Geospace Environment Modeling (GEM) dayside kinetic processes challenge event at 01:50-03:00 UT on 2015-11-18, when the magnetosphere was driven by a steady…

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

High-intensity laser plasma interactions create complex computational problems because they involve both fluid and kinetic regimes, which need models that maintain physical precision while keeping computational speed. The research…

Plasma Physics · Physics 2025-10-14 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

The particle-in-cell (PIC) method is successfully used to study magnetized plasmas. However, this requires large computational costs and limits simulations to short physical run-times and often to setups in less than three spatial…

High Energy Astrophysical Phenomena · Physics 2023-01-24 Rouven Lemmerz , Mohamad Shalaby , Timon Thomas , Christoph Pfrommer

Two-dimensional relativistic particle-in-cell (PIC) simulations of radiative magnetic reconnection in pair plasmas with multiple interacting current sheets are carried out to mimic the dynamics in high-energy astrophysical environments,…

We present a new magnetohydrodynamic-particle-in-cell (MHD-PIC) code integrated into the Athena++ framework. It treats energetic particles as in conventional PIC codes while the rest of thermal plasmas are treated as background fluid…

High Energy Astrophysical Phenomena · Physics 2023-05-31 Xiaochen Sun , Xue-Ning Bai

The advent of high-power Hall thrusters and the increasing interest towards their use as a primary propulsion system for various missions have given a new boost to the efforts aiming at self-consistent predictive modeling of this thruster…

Plasma Physics · Physics 2022-06-10 Farbod Faraji , Maryam Reza , Aaron Knoll

Magnetic reconnection and non-thermal particle distributions associated with current-driven instabilities are investigated by means of resistive magnetohydrodynamics (MHD) simulations combined with relativistic test particle methods. We…

High Energy Astrophysical Phenomena · Physics 2017-04-19 Bart Ripperda , Oliver Porth , Chun Xia , Rony Keppens

The hybrid method combining particle-in-cell and magnetohydrodynamics can be used to study the interaction between energetic particles and global plasma modes. In this paper we introduce the M3D-C1-K code, which is developed based on the…

Plasma Physics · Physics 2022-03-23 Chang Liu , Stephen C. Jardin , Hong Qin , Jianyuan Xiao , Nathaniel M. Ferraro , Joshua Breslau

There are many interesting physical processes which involve the generation of high density plasmas in large volumes. However, when modeling these systems numerically, the large densities and volumes present a significant computational…

Computational Physics · Physics 2007-05-23 A. E. Schulz , A. D. Greenwood , K. L. Cartwright , P. J. Mardahl
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