Explicit symplectic algorithms based on generating functions for charged particle dynamics

doi:10.1103/PhysRevE.94.013205

	Explicit symplectic algorithms based on generating functions for charged particle dynamics
	Zhang, Ruili 1,2,3; Qin, Hong 1,2,4; Tang, Yifa5 ; Liu, Jian 1,2,3; He, Yang 1,2,3; Xiao, Jianyuan 1,2,3
	2016-07-21
发表期刊	PHYSICAL REVIEW E
ISSN	2470-0045
卷号	94 期号:1 页码:8
摘要	Dynamics of a charged particle in the canonical coordinates is a Hamiltonian system, and the well-known symplectic algorithm has been regarded as the de facto method for numerical integration of Hamiltonian systems due to its long-term accuracy and fidelity. For long-term simulations with high efficiency, explicit symplectic algorithms are desirable. However, it is generally believed that explicit symplectic algorithms are only available for sum-separable Hamiltonians, and this restriction limits the application of explicit symplectic algorithms to charged particle dynamics. To overcome this difficulty, we combine the familiar sum-split method and a generating function method to construct second- and third-order explicit symplectic algorithms for dynamics of charged particle. The generating function method is designed to generate explicit symplectic algorithms for product-separable Hamiltonian with form of H(x,p) = p(i) f (x) or H(x, p) = x(i) g(p). Applied to the simulations of charged particle dynamics, the explicit symplectic algorithms based on generating functions demonstrate superiorities in conservation and efficiency.
DOI	10.1103/PhysRevE.94.013205
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[11305171] ; National Natural Science Foundation of China (NSFC)[11505186] ; National Natural Science Foundation of China (NSFC)[11575185] ; National Natural Science Foundation of China (NSFC)[11575186] ; ITER-China Program[2015GB111003] ; ITER-China Program[2014GB124005] ; Fundamental Research Funds for the Central Universities[WK2030040068] ; China Postdoctoral Science Foundation[2015M581994] ; CAS Program for Interdisciplinary Collaboration Team ; Geo-Algorithmic Plasma Simulator (GAPS) Project
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000380117600009
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23189
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.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China 2.Univ Sci & Technol China, Sch Nucl Sci & Technol, Hefei 230026, Anhui, Peoples R China 3.Chinese Acad Sci, Key Lab Geospace Environm, Hefei 230026, Anhui, Peoples R China 4.Princeton Univ, Plasma Phys Lab, Princeton, NJ 08543 USA 5.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ruili,Qin, Hong,Tang, Yifa,et al. Explicit symplectic algorithms based on generating functions for charged particle dynamics[J]. PHYSICAL REVIEW E,2016,94(1):8.
APA	Zhang, Ruili,Qin, Hong,Tang, Yifa,Liu, Jian,He, Yang,&Xiao, Jianyuan.(2016).Explicit symplectic algorithms based on generating functions for charged particle dynamics.PHYSICAL REVIEW E,94(1),8.
MLA	Zhang, Ruili,et al."Explicit symplectic algorithms based on generating functions for charged particle dynamics".PHYSICAL REVIEW E 94.1(2016):8.