Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
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.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- December 2016
- DOI:
- 10.1016/j.jcp.2016.09.047
- arXiv:
- arXiv:1605.01458
- Bibcode:
- 2016JCoPh.327..245T
- Keywords:
-
- Charged particle;
- Explicit method;
- Symplectic integrator;
- Arbitrary high order;
- Time-dependent electromagnetic field;
- Mathematics - Numerical Analysis;
- Physics - Plasma Physics;
- 34A26;
- 37M15;
- 65P10;
- 65L20;
- 70H05
- E-Print:
- Submitted to JCP on May 13, 2015