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

doi:10.1063/1.5012767

	Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field
	Zhang, Ruili 1; Wang, Yulei 2,3,4; He, Yang 5; Xiao, Jianyuan 2,3,4; Liu, Jian 2,3,4; Qin, Hong 2,3,6; Tang, Yifa7
	2018-02-01
发表期刊	PHYSICS OF PLASMAS
ISSN	1070-664X
卷号	25 期号:2 页码:7
摘要	Relativistic dynamics of a charged particle in time-dependent electromagnetic fields has theoretical significance and a wide range of applications. The numerical simulation of relativistic dynamics is often multi-scale and requires accurate long-term numerical simulations. Therefore, explicit symplectic algorithms are much more preferable than non-symplectic methods and implicit symplectic algorithms. In this paper, we employ the proper time and express the Hamiltonian as the sum of exactly solvable terms and product-separable terms in space-time coordinates. Then, we give the explicit symplectic algorithms based on the generating functions of orders 2 and 3 for relativistic dynamics of a charged particle. The methodology is not new, which has been applied to non-relativistic dynamics of charged particles, but the algorithm for relativistic dynamics has much significance in practical simulations, such as the secular simulation of runaway electrons in tokamaks. Published by AIP Publishing.
DOI	10.1063/1.5012767
语种	英语
资助项目	National Natural Science Foundation of China[NSFC-11505186] ; National Natural Science Foundation of China[11575185] ; National Natural Science Foundation of China[11575186] ; National Natural Science Foundation of China[11771438] ; ITER-China Program[2015GB111003] ; ITER-China Program[2014GB124005] ; Fundamental Research Funds for the Central Universities[2017RC033] ; JSPS-NRF-NSFC[NSFC-11261140328] ; Key Research Program of Frontier Sciences CAS[QYZDB-SSW-SYS004] ; Geo-Algorithmic Plasma Simulator (GAPS) Project
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas
WOS记录号	WOS:000426584700021
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29782
专题	计算数学与科学工程计算研究所
通讯作者	Qin, Hong
作者单位	1.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China 2.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China 3.Univ Sci & Technol China, Sch Nucl Sci & Technol, Hefei 230026, Anhui, Peoples R China 4.Chinese Acad Sci, Key Lab Geospace Environm, Hefei 230026, Anhui, Peoples R China 5.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China 6.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA 7.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ruili,Wang, Yulei,He, Yang,et al. Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field[J]. PHYSICS OF PLASMAS,2018,25(2):7.
APA	Zhang, Ruili.,Wang, Yulei.,He, Yang.,Xiao, Jianyuan.,Liu, Jian.,...&Tang, Yifa.(2018).Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field.PHYSICS OF PLASMAS,25(2),7.
MLA	Zhang, Ruili,et al."Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field".PHYSICS OF PLASMAS 25.2(2018):7.