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arXiv · 1610.05390

Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field

Ruili Zhang·Yulei Wang·Yang He·Jianyuan Xiao·Jian Liu·Hong Qin·Yifa Tang
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Abstract

Relativistic dynamics of a charged particle in time-dependent electromagnetic fields has theoretical significance and a wide range of applications. It is often multi-scale and requires accurate long-term numerical simulations using symplectic integrators. For modern large-scale particle simulations in complex, time-dependent electromagnetic field, explicit symplectic algorithms are much more preferable. In this paper, we treat the relativistic dynamics of a particle as a Hamiltonian system on the cotangent space of the space-time, and construct for the first time explicit symplectic algorithms for relativistic charged particles of order 2 and 3 using the sum-split technique and generating functions.

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Ruili Zhang, Yulei Wang, Yang He, Jianyuan Xiao, Jian Liu, Hong Qin, Yifa Tang. 2016-10-18. Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field. https://doi.org/10.1063/1.5012767

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