title: Explicit symplectic algorithms based on generating functions for charged particle dynamics.
abstract: 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.
authors: Department of Modern Physics and School of Nuclear Science and Technology, University of Science and Technology of China, Hefei, Anhui 230026, China.|Key Laboratory of Geospace Environment, CAS, Hefei, Anhui 230026, China.
authors: Ruili
authors: R
authors: Zhang
authors: Department of Modern Physics and School of Nuclear Science and Technology, University of Science and Technology of China, Hefei, Anhui 230026, China.|Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA.
authors: Hong
authors: H
authors: Qin
authors: LSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
authors: Yifa
authors: Y
authors: Tang
authors: Department of Modern Physics and School of Nuclear Science and Technology, University of Science and Technology of China, Hefei, Anhui 230026, China.|Key Laboratory of Geospace Environment, CAS, Hefei, Anhui 230026, China.
authors: Jian
authors: J
authors: Liu
authors: Department of Modern Physics and School of Nuclear Science and Technology, University of Science and Technology of China, Hefei, Anhui 230026, China.|Key Laboratory of Geospace Environment, CAS, Hefei, Anhui 230026, China.
authors: Yang
authors: Y
authors: He
authors: Department of Modern Physics and School of Nuclear Science and Technology, University of Science and Technology of China, Hefei, Anhui 230026, China.|Key Laboratory of Geospace Environment, CAS, Hefei, Anhui 230026, China.
authors: Jianyuan
authors: J
authors: Xiao