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In this paper we present an extension of standard iterative splitting schemes to multiple splitting schemes for solving higher order differential equations. We are motivated by dynamical systems, which occur in dynamics of the electrons in…

Numerical Analysis · Mathematics 2012-04-17 Juergen Geiser , Thomas Zacher

Numerical heating in particle-in-cell (PIC) codes currently precludes the accurate simulation of cold, relativistic plasma over long periods, severely limiting their applications in astrophysical environments. We present a spatially…

Symplectic schemes are powerful methods for numerically integrating Hamiltonian systems, and their long-term accuracy and fidelity have been proved both theoretically and numerically. However direct applications of standard symplectic…

Plasma Physics · Physics 2019-06-26 Jianyuan Xiao , Hong Qin

The goal of this paper is to apply the method of Lagrangian descriptors to reveal the phase space mechanism by which a Caldera-type potential energy surface (PES) exhibits the dynamical matching phenomenon. Using this technique, we can…

Chaotic Dynamics · Physics 2020-11-30 M. Katsanikas , Víctor J. García-Garrido , S. Wiggins

A quantum thermodynamic system is described by a Hamiltonian and a list of conserved, non-commuting charges, and a fundamental goal is to determine the minimum energy of the system subject to constraints on the charges. Recently, [Liu et…

Load management is being recognized as an important option for active user participation in the energy market. Traditional load management methods usually require a centralized powerful control center and a two-way communication network…

Signal Processing · Electrical Eng. & Systems 2018-05-09 Wei Zhang , Yinliang Xu , Sisi Li , MengChu Zhou , Wenxin Liu , Ying Xu

The PID problem in high energy physics experiments is analysed with Bayesian technique. The corresponding applicable method is presented.

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ding Tian

A class of variational schemes for the hydrodynamic-electrodynamic model of lossless free-electron gas in a quasineutral background is developed for high-quality simulations of surface plasmon polaritons. The Lagrangian density of lossless…

Computational Physics · Physics 2019-02-27 Qiang Chen , Lifei Geng , Xiang Chen , Xiaojun Hao , Chuanchuan Wang , Xiaoyang Wang

The simulation of high-rate deformation and failure of metals is has traditionally been performed using Lagrangian finite element methods or Eulerian hydrocodes. Lagrangian mesh-based methods are limited by issues involving mesh…

Computational Physics · Physics 2012-01-13 Biswajit Banerjee , James E. Guilkey , Todd B. Harman , John A. Schmidt , Patrick A. McMurtry

Boolean reaction networks are an important tool in biochemistry for studying mechanisms in the biological cell. However, the stochastic formulation of such networks requires the solution of a master equation which inherently suffers from…

Numerical Analysis · Mathematics 2025-01-09 Lukas Einkemmer , Julian Mangott , Martina Prugger

E-science applications may require huge amounts of data and high processing power where grid infrastructures are very suitable for meeting these requirements. The load distribution in a grid may vary leading to the bottlenecks and…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-11 Resat Umit Payli , Kayhan Erciyes , Orhan Dagdeviren

We present a study of the standard plasma physics test, Landau damping, using the Particle-In-Cell (PIC) algorithm. The Landau damping phenomenon consists of the damping of small oscillations in plasmas without collisions. In the PIC…

Plasma Physics · Physics 2023-03-23 Daniel S. Finn , Matthew G. Knepley , Joseph V. Pusztay , Mark F. Adams

In this paper, we describe a new scalable and modular material point method (MPM) code developed for solving large-scale problems in continuum mechanics. The MPM is a hybrid Eulerian-Lagrangian approach, which uses both moving material…

Charged particle transport is an important energy transport mode in the combustion process of inertial confinement fusion plasma. On the one hand, charged particles inside the hot spot have a strong non-equilibrium effect, so it is…

Plasma Physics · Physics 2023-09-26 Chang Liu , Bao Du , Peng Song

For simulating laser-plasma interactions, we developed a parallel, multi-dimensional, fully relativistically particle-in-cell (PIC) code, named YUNIC. The core algorithm is introduced, including field solver, particle pusher, field…

Plasma Physics · Physics 2021-04-02 Huai-Hang Song , Wei-Min Wang , Yu-Tong Li

The charge and potential distributions for insulating particles approaching a substrate with regular insulating structures are studied by particle-in-cell numerical simulations. An elongated particle and substrate with elongated structures…

Plasma Physics · Physics 2016-11-15 W J Miloch , S V Vladimirov

Long ranged electrostatic interactions are time consuming to calculate in molecular dynamics and Monte-Carlo simulations. We introduce an algorithmic framework for simulating charged particles which modifies the dynamics so as to allow…

Statistical Mechanics · Physics 2009-09-07 A. C. Maggs , V. Rossetto

In the present work, a consistent Lagrangian model that encapsulates fully kinetic ions and gyrokinetic electrons for solar wind electromagnetic turbulence is formulated. Using a consistent method, where both electrons and protons are…

We present a theoretical approach to study the dynamics of spherical, cylindrical and ellipsoidal charge distributions under their self-Coulomb field and a stochastic force due to collisions and random motions of charged particles. The…

Plasma Physics · Physics 2022-02-14 Omid Zandi , Renske M. van der Veen

An explicit high order semi-Lagrangian method is developed for solving Lagrangian transport equations in Eulerian-Lagrangian formulations. To ensure a semi-Lagrangian approximation that is consistent with an explicit Eulerian, discontinuous…

Numerical Analysis · Mathematics 2019-10-16 Hareshram Natarajan , Gustaaf B. Jacobs