Splitting methods for time integration of trajectories in combined electric and magnetic fields.
@article{Knapp2015SplittingMF, title={Splitting methods for time integration of trajectories in combined electric and magnetic fields.}, author={Christian Knapp and Alexander Kendl and Antti Koskela and Alexander Ostermann}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2015}, volume={92 6}, pages={ 063310 } }
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 ϕ functions, which give efficient ways for both analyzing and implementing the algorithms. Numerical…
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