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Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field
Zhang, Ruili1; Wang, Yulei2,3,4; He, Yang5; Xiao, Jianyuan2,3,4; Liu, Jian2,3,4; Qin, Hong2,3,6; Tang, Yifa7
2018-02-01
Source PublicationPHYSICS OF PLASMAS
ISSN1070-664X
Volume25Issue:2Pages:7
AbstractRelativistic 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.
DOI10.1063/1.5012767
Language英语
Funding ProjectNational 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 Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas
WOS IDWOS:000426584700021
PublisherAMER INST PHYSICS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29782
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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