Fourth-order energy-preserving exponential integrator for charged-particle dynamics in a strong constant magnetic field

Shixiang Huang, Li Huang, and Lijie Mei
Phys. Rev. E 102, 043315 – Published 22 October 2020

Abstract

Charged-particle dynamics in a strong constant magnetic field can yield a fast gyromotion with high frequency around the center. Considering the superior of exponential integrators for highly oscillatory problems and the benefit of energy preservation of numerical integrators in solving the charged-particle dynamics, this paper is devoted to developing a fourth-order energy-preserving exponential integrator for the charged-particle dynamics in a strong constant magnetic field. To this end, we first rewrite the problem in the form of a semilinear Poisson system, to which the exponential average vector field (EAVF) method can be applied with energy preservation. Then, by deriving the truncated modified differential equation of the EAVF method, we propose a fourth-order energy-preserving exponential integrator according to the modifying integrator theory. Finally, numerical results soundly support the good energy preservation and high efficiency of the proposed fourth-order integrator in solving the problem considered in this paper.

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  • Received 6 May 2020
  • Accepted 8 October 2020

DOI:https://doi.org/10.1103/PhysRevE.102.043315

©2020 American Physical Society

Physics Subject Headings (PhySH)

Plasma Physics

Authors & Affiliations

Shixiang Huang1, Li Huang2, and Lijie Mei1,*

  • 1School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China
  • 2School of Physics and Electronic Information, Shangrao Normal University, Shangrao 334001, China

  • *Corresponding author: bxhanm@126.com

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Issue

Vol. 102, Iss. 4 — October 2020

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