Explicit symplectic algorithms based on generating functions for charged particle dynamics
文献类型：期刊论文
| 作者 | Zhang, Ruili1,2,3; Qin, Hong1,2,4; Tang, Yifa5 ; Liu, Jian1,2,3; He, Yang1,2,3; Xiao, Jianyuan1,2,3
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| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2016-07-21 |
| 卷号 | 94期号:1页码:8 |
| ISSN号 | 2470-0045 |
| DOI | 10.1103/PhysRevE.94.013205 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000380117600009 |
| 出版者 | AMER PHYSICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23188]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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