Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967954 | Journal of Computational Physics | 2016 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Molei Tao,