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arXiv · 1510.01484

Splitting methods for time integration of trajectories in combined electric and magnetic fields

Christian Knapp·Alexander Kendl·Antti Koskela·Alexander Ostermann
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Abstract

The equations of motion of a single particle subject to an arbitrary electric and a static magnetic field form a Poisson system. We present a second-order time integration method which preserves well the Poisson structure and compare it to commonly used algorithms, such as the Boris scheme. All the methods are represented in a general framework of splitting methods. We use the so-called $\phi$ functions, which give efficient ways for both analyzing and implementing the algorithms. Numerical experiments show an excellent long term stability for the new method considered.

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Christian Knapp, Alexander Kendl, Antti Koskela, Alexander Ostermann. 2015-10-06. Splitting methods for time integration of trajectories in combined electric and magnetic fields. https://doi.org/10.1103/physreve.92.063310

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