Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field
Plasma Physics
2018-10-24 v1
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.
Cite
@article{arxiv.1610.05390,
title = {Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field},
author = {Ruili Zhang and Yulei Wang and Yang He and Jianyuan Xiao and Jian Liu and Hong Qin and Yifa Tang},
journal= {arXiv preprint arXiv:1610.05390},
year = {2018}
}
Comments
12 pages, 2 figures