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We describe an initial implementation of an electrostatic Particle-in-Cell (ES-PIC) module with adaptive Cartesian mesh in our Unified Flow Solver framework. Challenges of PIC method with cell-based adaptive mesh refinement (AMR) are…

Computational Physics · Physics 2016-06-22 Vladimir I Kolobov , Robert R Arslanbekov

The present paper is devoted to the convergence analysis of an asymptotic preserving particle scheme designed to serve as a particle pusher in a Particle-In-Cell (PIC) method for the Vlasov equation with a strong inhomogeneous magnetic…

Numerical Analysis · Mathematics 2025-12-04 Francis Filbet , L Miguel Rodrigues , Kim Han Trinh

We discuss the scalable parallel solution of the Poisson equation within a Particle-In-Cell (PIC) code for the simulation of electron beams in particle accelerators of irregular shape. The problem is discretized by Finite Differences.…

Computational Physics · Physics 2010-04-21 A. Adelmann , P. Arbenz , Y. Ineichen

We review common extensions of particle-in-cell (PIC) schemes which account for strong field phenomena in laser-plasma interactions. After describing the physical processes of interest and their numerical implementation, we provide…

A second-order accurate divergence-conserving hybrid particle-in-cell code Maximus has been developed for microscopic modeling of collisionless plasmas. The main specifics of the code include a constrained transport algorithm for exact…

Computational Physics · Physics 2019-03-11 J. A. Kropotina , A. M. Bykov , A. M. Krassilchtchikov , K. P. Levenfish

Recently, task-based programming models have emerged as a prominent alternative among shared-memory parallel programming paradigms. Inherently asynchronous, these models provide native support for dynamic load balancing and incorporate data…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-01 Nicolas Guidotti , Pedro Ceyrat , João Barreto , José Monteiro , Rodrigo Rodrigues , Ricardo Fonseca , Xavier Martorell , Antonio J. Peña

Optimizing iPIC3D, an implicit Particle-in-Cell (PIC) code, for large-scale 3D plasma simulations is crucial for space and astrophysical applications. This work focuses on characterizing iPIC3D's communication efficiency through strategic…

Plasma Physics · Physics 2024-08-06 Jeremy J. Williams , Daniel Medeiros , Ivy B. Peng , Stefano Markidis

Semi-empirical quantum chemistry has recently seen a renaissance with applications in high-throughput virtual screening and machine learning. The simplest semi-empirical model still in widespread use in chemistry is H\"uckel's…

Chemical Physics · Physics 2024-11-08 R. A. Vargas-Hernández , K. Jorner , R. Pollice , A. Aspuru-Guzik

Kinetic Particle In Cell (PIC) methods can extend greatly their range of applicability if implicit time differencing and spatial adaption are used to address the wide range of time and length scales typical of plasmas. For implicit…

Plasma Physics · Physics 2008-06-05 Giovanni Lapenta

Particle-in-Cell (PIC) methods employ particle representations of unknown fields, but also employ continuum fields for other parts of the problem. Thus projection between particle and continuum bases is required. Moreover, we often need to…

Plasma Physics · Physics 2023-06-22 Joseph V. Pusztay , Matthew G. Knepley , Mark F. Adams

We present the Photon-Plasma code, a modern high order charge conserving particle-in-cell code for simulating relativistic plasmas. The code is using a high order implicit field solver and a novel high order charge conserving interpolation…

Solar and Stellar Astrophysics · Physics 2015-06-12 Troels Haugboelle , Jacob Trier Frederiksen , Aake Nordlund

Modern ultra-intense laser facilities can generate electromagnetic fields strong enough to accelerate particles to near-light speeds over micron-scale distances and also approach the QED critical field, resulting in highly nonlinear and…

Plasma Physics · Physics 2025-11-13 Q. Qian , D. Seipt , M. Vranic , T. Grismayer , C. P. Ridgers , A. G. R. Thomas

Particle-in-Cell (PIC) simulations spend most of their execution time on particle--grid interactions, where fine-grained atomic updates become a major bottleneck on traditional many-core CPUs. Recent CPU architectures integrate specialized…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-14 Yizhuo Rao , Xingjian Cui , Jiabin Xie , Shangzhi Pang , Guangnan Feng , Jinhui Wei , Zhiguang Chen , Yutong Lu

We present a novel Relativistic Semi-Implicit Method (RelSIM) for particle-in-cell (PIC) simulations of astrophysical plasmas, implemented in a code framework ready for production runs. While explicit PIC methods have gained widespread…

High Energy Astrophysical Phenomena · Physics 2023-08-29 Fabio Bacchini

The Particle-In-Cell (PIC) method has been developed by Oscar Buneman, Charles Birdsall, Roger W. Hockney, and John Dawson in the 1950s and, with the advances of computing power, has been further developed for several fields such as…

High Energy Astrophysical Phenomena · Physics 2021-07-20 Kenichi Nishikawa , Ioana Dutan , Christoph Koehn , Yosuke Mizuno

We present a hybrid quantum-classical electrostatic Particle-in-Cell (PIC) method, where the electrostatic field Poisson solver is implemented on a quantum computer simulator using a hybrid classical-quantum Neural Network (HNN) using…

Modal methods for simulating vibrations of strings, membranes, and plates are widely used in acoustics and physically informed audio synthesis. However, traditional implementations, particularly for non-linear models like the von K\'arm\'an…

Sound · Computer Science 2025-05-27 Rodrigo Diaz , Mark Sandler

We extend the simplex-in-cell (SIC) technique recently introduced in the context of collisionless dark matter fluids (Abel et al. 2012; Hahn et al. 2012) to the case of collisionless plasmas. The six-dimensional phase space distribution…

Computational Physics · Physics 2015-06-25 Julian Kates-Harbeck , Samuel Totorica , Jonathan Zrake , Tom Abel

This article presents a hardware architecture independent implementation of an adaptive mesh refinement Poisson solver that is integrated into the electrostatic Particle-In-Cell beam dynamics code OPAL. The Poisson solver is solely based on…

Computational Physics · Physics 2020-09-03 Matthias Frey , Andreas Adelmann , Uldis Locans

CLAX is a JAX-based library that implements classic click models using modern gradient-based optimization. While neural click models have emerged over the past decade, complex click models based on probabilistic graphical models (PGMs) have…

Information Retrieval · Computer Science 2025-11-06 Philipp Hager , Onno Zoeter , Maarten de Rijke