Explicit K-symplectic algorithms for charged particle dynamics

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• 作者：Yang He^a ; Zhaoqi Zhou^b ; Yajuan Sun^b ; ^c ; ^{sunyj@lsec.cc.ac.cn} ; Jian Liu^d ; ^e ; Hong Qin^d ; ^f
• 关键词：Lorentz force equation ; K-symplectic integrator ; Splitting method ; Hamiltonian splitting ; Energy preservation
• 刊名：Physics Letters A
• 出版年：2017
• 出版时间：12 February 2017
• 年：2017
• 卷：381
• 期：6
• 页码：568-573
• 全文大小：774 K
• 卷排序：381

文摘

We study the Lorentz force equation of charged particle dynamics by considering its K-symplectic structure. As the Hamiltonian of the system can be decomposed as four parts, we are able to construct the numerical methods that preserve the K-symplectic structure based on Hamiltonian splitting technique. The newly derived numerical methods are explicit, and are shown in numerical experiments to be stable over long-term simulation. The error convergency as well as the long term energy conservation of the numerical solutions is also analyzed by means of the Darboux transformation.