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Mathematics > Numerical Analysis

arXiv:1605.01458 (math)
[Submitted on 4 May 2016]

Title:Explicit high-order symplectic integrators for charged particles in general electromagnetic fields

Authors:Molei Tao
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Abstract:This article considers non-relativistic charged particle dynamics in both static and non-static electromagnetic fields, which are governed by nonseparable, possibly time-dependent Hamiltonians. For the first time, explicit symplectic integrators of arbitrary high-orders are constructed for accurate and efficient simulations of such mechanical systems. Performances superior to the standard non-symplectic method of Runge-Kutta are demonstrated on two examples: the first is on the confined motion of a particle in a static toroidal magnetic field used in tokamak; the second is on how time-periodic perturbations to a magnetic field inject energy into a particle via parametric resonance at a specific frequency.
Comments: Submitted to JCP on May 13, 2015
Subjects: Numerical Analysis (math.NA); Plasma Physics (physics.plasm-ph)
MSC classes: 34A26, 37M15, 65P10, 65L20, 70H05
Cite as: arXiv:1605.01458 [math.NA]
  (or arXiv:1605.01458v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.1605.01458
Related DOI: https://doi.org/10.1016/j.jcp.2016.09.047

Submission history

From: Molei Tao [view email]
[v1] Wed, 4 May 2016 23:38:33 UTC (781 KB)
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