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Particle-In-Cell codes are widely used for plasma physics simulations. It is often the case that particles within a computational cell need to be split to improve the statistics or, in the case of non-uniform meshes, to avoid the…

Modeling multi-scale collisionless magnetized processes constitutes an important numerical challenge. By treating electrons as a fluid and ions kinetically, the so-called hybrid Particle-In-Cell (PIC) codes represent a promising…

The field of microelectromechanical Systems (MEMS) for photonic integrated circuits (PICs) is reviewed. This field leverages mechanics at the nanometer to micrometer scale to improve existing components and introduce novel functionalities…

Developing particle-in-cell (PIC) methods using finite element basis sets, and without auxiliary divergence cleaning methods, was a long standing problem until recently. It was shown that if consistent spatial basis functions are used, one…

等离子体物理 · 物理学 2021-10-04 Scott O'Connor , Zane D. Crawford , O. H. Ramachandran , John Luginsland , B. Shanker

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…

计算物理 · 物理学 2020-08-18 J. L. Vay

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…

等离子体物理 · 物理学 2024-02-12 Arkady Gonoskov

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…

计算物理 · 物理学 2016-06-22 Vladimir I Kolobov , Robert R Arslanbekov

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…

等离子体物理 · 物理学 2015-08-26 A. Gonoskov , S. Bastrakov , E. Efimenko , A. Ilderton , M. Marklund , I. Meyerov , A. Muraviev , A. Sergeev , I. Surmin , E. Wallin

We present a brief tutorial on the nuts and bolts computation of a multisymplectic particle-in-cell algorithm using the discretized Lagrangian approach. This approach, originated by Marsden, Shadwick, and others, brings the benefits of…

等离子体物理 · 物理学 2014-09-18 Stephen D. Webb

Many applications in computational physics that use numerical integrators based on splitting and composition can benefit from the development of optimized algorithms and from choosing the best ordering of terms. The cost in programming and…

计算物理 · 物理学 2022-03-14 Robert I McLachlan

With the great development of parallel computing techniques, the particle-particle (PP) model has been successfully applied in a number of plasma applications. Comparing to particle-mesh (PM) models, for example the widely used…

等离子体物理 · 物理学 2025-06-10 Yanan Zhang , Xiaochun Ma , Hui Liu , Yinjian Zhao

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 propose Poisson integrators for the numerical integration of separable Poisson systems. We analyze three situations in which the Poisson systems are separated in three ways and the Poisson integrators can be constructed by using the…

数值分析 · 数学 2022-11-09 Beibei Zhu , Lun Ji , Aiqing Zhu , Yifa Tang

In particle-in-cell simulations, excessive or even unfeasible computational demands can be caused by the growth of the number of particles in the course of prolific ionization or cascaded pair production due to the effects of quantum…

计算物理 · 物理学 2021-01-25 A. Muraviev , A. Bashinov , E. Efimenko , V. Volokitin , I. Meyerov , A. Gonoskov

We propose a class of Particle-In-Cell (PIC) methods for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic field with fixed direction, where we focus on the motion of particles in the plane orthogonal to the…

数值分析 · 数学 2017-01-25 Francis Filbet , Luis Rodrigues

The recently developed energy conserving semi-implicit method (ECsim) for PIC simulation is applied to multiple scale problems where the electron-scale physics needs to be only partially retained and the interest is on the macroscopic or…

计算物理 · 物理学 2017-05-24 Giovanni Lapenta , Diego Gonzalez-Herrero , Elisabetta Boella

This paper investigates the equations of motion for a relativistic charged particle in a general magnetic field. By reformulating the dynamics in four-dimensional spacetime and separating the linear and nonlinear parts, we construct an…

数值分析 · 数学 2026-03-24 Zhirui Shen , Bin Wang

Author developed the parallel fully kinetic particle-in-cell (PIC) code JPIC based on updated and advanced algorithms (e.g. numerical-dispersion-free electromagnetic field solver) for simulating laser plasma interactions. Basic technical…

等离子体物理 · 物理学 2011-04-19 Hui-Chun Wu

We present results from a fully kinetic particle-in-cell (PIC) simulation of direct current magnetron sputtering (dcMS) in a 2D cylindrically symmetric geometry. The particle-in-cell model assumes an electrostatic approximation and includes…

Particle-in-Cell (PIC) simulation codes have wide applicability to first-principles modeling of multidimensional nonlinear plasma phenomena, including wake-field accelerators. This review addresses both finite difference and pseudo-spectral…

等离子体物理 · 物理学 2014-08-07 Brendan B. Godfrey