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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…

We suggest a numerical integration procedure for solving the equations of motion of certain classical spin systems which preserves the underlying symplectic structure of the phase space. Such symplectic integrators have been successfully…

统计力学 · 物理学 2007-05-23 Robin Steinigeweg , Heinz-Jürgen Schmidt

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

We examine and compare several iterative methods for solving large-scale eigenvalue problems arising from nuclear structure calculations. In particular, we discuss the possibility of using block Lanczos method, a Chebyshev filtering based…

数值分析 · 数学 2023-05-26 Abdullah Alperen , Metin Aktulga , Pieter Maris , Chao Yang

A new scheme for numerical integration of the 1D2V relativistic Vlasov-Maxwell system is proposed. Assuming that all particles in a cell of the phase space move with the same velocity as that of the particle located at the center of the…

等离子体物理 · 物理学 2010-02-18 Akihiro Suzuki , Toshikazu Shigeyama

It is demonstrated that the inherent structure of Boris pusher may result in the accumulation of errors in numerical integration when estimating the works of electric fields on particles. This, in turn, leads to an incorrect estimations of…

等离子体物理 · 物理学 2024-01-25 Diana Gorlova , Ivan Tsymbalov , Konstantin Ivanov , Ekaterina Starodubtseva , Andrei Savelev

A new spectral type method for solving the one dimensional quantum-mechanical Lippmann-Schwinger integral equation in configuration space is described. The radial interval is divided into partitions, not necessarily of equal length. Two…

核理论 · 物理学 2009-09-25 G. H. Rawitscher , I. Koltracht , R. A. Gonzales

The Boris algorithm for integrating charged particle trajectories in electric and magnetic fields is popular due to its simple implementation, rapid iteration, and observed long-term numerical fidelity. The underlying cause of this…

计算物理 · 物理学 2015-09-10 C. L. Ellison , J. W. Burby , H. Qin

Particle-in-Cell (PIC) methods have achieved widespread recognition as simple and flexible approaches to model collisionless plasma physics in fully kinetic simulations of astrophysical environments. However, in many situations the standard…

This study addresses the challenge of simulating realistic particle systems by proposing a novel particle decomposition scheme that improves the parallel performance of surface resolved particle simulations. Realistic particle systems often…

流体动力学 · 物理学 2024-03-21 J. E. Marquardt , N. Hafen , M. J. Krause

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

This paper proposes several explicit and implicit multistep frequency response optimized integrators considering first or second order derivative. A prediction-based method aiming at accelerating a novel power system transient simulation…

系统与控制 · 电气工程与系统科学 2021-02-16 Sheng Lei , Alexander Flueck

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…

等离子体物理 · 物理学 2022-03-23 Chang Liu , Stephen C. Jardin , Hong Qin , Jianyuan Xiao , Nathaniel M. Ferraro , Joshua Breslau

By applying hybrid functions of general block-pulse functions and the second Chebyshev polynomials,integrodifferential systems are converted into a system of algebraic equations. The approximate solutions of integrodifferential systems are…

数值分析 · 数学 2008-04-30 Xing Tao Wang

The method of choice for integrating the equations of motion of the general N-body problem has been to use an individual time step scheme. For the sake of efficiency, block time steps have been the most popular, where all time step sizes…

天体物理学 · 物理学 2009-11-11 Junichiro Makino , Piet Hut , Murat Kaplan , Hasan Saygin

Particle-in-cell methods couple mesh-based methods for the solution of continuum mechanics problems, with the ability to advect and evolve particles. They have a long history and many applications in scientific computing. However, they have…

数值分析 · 数学 2019-09-12 R. Gassmoeller , E. Heien , E. G. Puckett , W. Bangerth

We introduce a new electrostatic particle-in-cell algorithm capable of using large timesteps compared to particle gyro-period under a uniform external magnetic field. The algorithm extends earlier electrostatic fully implicit PIC…

计算物理 · 物理学 2023-05-31 Guangye Chen , Luis Chacón

Cosmic-ray acceleration processes in astrophysical plasmas are often investigated with fully-kinetic or hybrid kinetic numerical simulations, which enable us to describe a detailed microphysics of particle energization mechanisms. Tracing…

高能天体物理现象 · 物理学 2025-02-12 Gabriel Torralba Paz , Artem Bohdan , Jacek Niemiec

The acceleration of protons and electrons in a reconnecting current sheet (RCS) is simulated with a particle-in-cell (PIC) 2D3V code for the proton-to-electron mass ratio of 100. The electro-magnetic configuration forming the RCS…

太阳与恒星天体物理 · 物理学 2015-05-13 Taras V. Siversky , Valentina V. Zharkova

Numerical solutions to the Vlasov-Poisson system of equations have important applications to both plasma physics and cosmology. In this paper, we present a new Particle-in-Cell (PIC) method for solving this system that is 4th-order accurate…

数值分析 · 数学 2016-02-03 Andrew Myers , Phillip Colella , Brian Van Straalen