Hyper Boris integrators for kinetic plasma simulations and their connection to 3D rotation representations

S. Zenitani; T. N. Kato

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arXiv · 2607.04465

Hyper Boris integrators for kinetic plasma simulations and their connection to 3D rotation representations

S. Zenitani·T. N. Kato

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Abstract

Particle-in-cell (PIC) simulation is one of the most important research tools in theoretical plasma physics. To solve the motion of charged particles, the Boris method (a.k.a. the Boris integrator/pusher/solver) has been used for more than a half century. Although the Boris solver has good accuracy, the demand for high-accuracy numerical solvers has been increasing, and new integrators have been actively developed. In this contribution, we present novel high-accuracy particle integrators, the hyper Boris integrators, for nonrelativistic kinetic simulations. We further discuss their connection to 3D rotation representations.

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S. Zenitani, T. N. Kato. 2026-07-05. Hyper Boris integrators for kinetic plasma simulations and their connection to 3D rotation representations. https://arxiv.org/abs/2607.04465

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