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This paper introduces a novel formulation of the Particle-In-Cell (PIC) method for the modeling of relativistic plasmas, which leverages the ability of the Pseudo-Spectral Analytical Time-Domain solver (PSATD) to handle arbitrary time…

等离子体物理 · 物理学 2023-12-29 Olga Shapoval , Edoardo Zoni , Remi Lehe , Maxence Thevenet , Jean-Luc Vay

In this paper, we develop a systematic method for constructing a generalized discrete-time control Lyapunov function for the flexible-step Model Predictive Control (MPC) scheme, recently introduced in [2], when restricted to the class of…

最优化与控制 · 数学 2025-05-20 Annika Fürnsinn , Christian Ebenbauer , Bahman Gharesifard

This paper is concerned with the optimal error estimates and energy conservation properties of the alternating direction implicit finite-difference time-domain (ADI-FDTD) method which is a popular scheme for solving the 3D Maxwell…

数值分析 · 数学 2011-06-02 Liping Gao , Bo Zhang

The linear and nonlinear characteristics of the electron cyclotron drift instability (ECDI) have been studied through the particle-in-cell (PIC) and continuum Vlasov simulation methods in connection with the effects of the azimuthal length…

等离子体物理 · 物理学 2023-04-05 Arash Tavassoli , Mina Papahn Zadeh , Andrei Smolyakov , Magdi Shoucri , Raymond J. Spiteri

A new global two-fluid electromagnetic turbulence code, CENTORI, has been developed for the purpose of studying magnetically-confined fusion plasmas on energy confinement timescales. This code is used to evolve the combined system of…

计算物理 · 物理学 2015-05-30 P. J. Knight , A. Thyagaraja , T. D. Edwards , J. Hein , M. Romanelli , K. G. McClements

A novel unified Hamiltonian approach is proposed to solve Maxwell-Schrodinger equation for modeling the interaction between classical electromagnetic (EM) fields and particles. Based on the Hamiltonian of electromagnetics and quantum…

光学 · 物理学 2017-02-28 Yongpin P. Chen , Wei E. I. Sha , Li Jun Jiang , Min Meng , Yu Mao Wu , Weng Cho Chew

We present a Vlasov-DArwin numerical code (ViDA) specifically designed to address plasma physics problems, where small-scale high accuracy is requested even during the non linear regime to guarantee a clean description of the plasma…

We present a finite-element time-domain (FETD) Maxwell solver for the analysis of body-of-revolution (BOR) geometries based on discrete exterior calculus (DEC) of differential forms and transformation optics (TO) concepts. We explore TO…

计算物理 · 物理学 2018-10-08 Dong-Yeop Na , Ben-Hur V. Borges , Fernando L. Teixeira

Time-dependent Maxwell's equations govern electromagnetics. Under certain conditions, we can rewrite these equations into a partial differential equation of second order, which in this case is the vectorial wave equation. For the vectorial…

数值分析 · 数学 2023-02-27 Julia I. M. Hauser , Marco Zank

We propose a finite difference method to solve Maxwell's equations in time domain in the presence of a perfect electric conductor that impedes the propagations of electromagnetic waves. Our method is a modification of the existing approach…

数值分析 · 数学 2023-08-09 Hwi Lee , Yingjie Liu

We consider the two dimensional (2D) classical lattice Coulomb gas as a model for magnetic field induced vortices in 2D superconducting networks. Two different dynamical rules are introduced to investigate driven diffusive steady states far…

统计力学 · 物理学 2009-11-11 Violeta Gotcheva , Yanting Wang , Albert T. J. Wang , S. Teitel

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…

等离子体物理 · 物理学 2018-08-29 Sarveshwar Sharma , Igor Kaganovich , Alexander Khrabrov , Predhiman Kaw , Abhijit Sen

In this paper, an improvement of the finite difference time domain (FDTD) method using a non-standard finite difference scheme is presented. The standard numerical scheme for the second derivative in the spatial domain is replaced by a…

计算物理 · 物理学 2018-08-21 I Wayan Sudiarta

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…

等离子体物理 · 物理学 2016-05-25 George J. Wilkie , William Dorland

Continuum computational kinetic plasma models evolve the distribution function of a plasma species $f_s$ on a phase-space grid over time. In many problems of interest the distribution function has limited extent in velocity space; hence,…

等离子体物理 · 物理学 2026-01-14 Manaure Francisquez , Petr Cagas , Akash Shukla , James Juno , Gregory W. Hammett

We compare different Poisson solvers within the context of an electrostatic Vlasov-Poisson system. These schemes are implemented as part of the IPPL (Independent Parallel Particle Layer) library (Frey et al., 2024), which provides…

计算工程、金融与科学 · 计算机科学 2026-05-08 Sonali Mayani , Paul Fischill , Sriramkrishnan Muralikrishnan , Andreas Adelmann

Particle methods are a ubiquitous tool for solving the Vlasov-Poisson equation in comoving coordinates, which is used to model the gravitational evolution of dark matter in an expanding universe. However, these methods are known to produce…

宇宙学与河外天体物理 · 物理学 2016-01-12 Andrew Myers , Phillip Colella , Brian Van Straalen

We leverage physics-embedded differentiable graph network simulators (GNS) to accelerate particulate and fluid simulations to solve forward and inverse problems. GNS represents the domain as a graph with particles as nodes and learned…

地球物理 · 物理学 2023-09-26 Krishna Kumar , Yongjin Choi

The rapid development of AI highlights the pressing need for sustainable energy, a critical global challenge for decades. Nuclear fusion, generally seen as an ultimate solution, has been the focus of intensive research for nearly a century,…

We describe a parallel algorithm for solving the time-independent 3d Schrodinger equation using the finite difference time domain (FDTD) method. We introduce an optimized parallelization scheme that reduces communication overhead between…

量子物理 · 物理学 2014-11-18 Michael Strickland , David Yager-Elorriaga