Variational symplectic algorithm for guiding center dynamics in the inner magnetosphere

Journal Article · Sun May 15 04:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3589275· OSTI ID:21537818

Jinxing, Li; Zuyin, Pu; Lun, Xie; Suiyan, Fu ^[1]; Hong, Qin ^[2]

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1. Institute of Space Physics and Applied Technology, Peking University, Beijing 100871 (China)
2. Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)

Charged particle dynamics in magnetosphere has temporal and spatial multiscale; therefore, numerical accuracy over a long integration time is required. A variational symplectic integrator (VSI) [H. Qin and X. Guan, Phys. Rev. Lett. 100, 035006 (2008) and H. Qin, X. Guan, and W. M. Tang, Phys. Plasmas 16, 042510 (2009)] for the guiding-center motion of charged particles in general magnetic field is applied to study the dynamics of charged particles in magnetosphere. Instead of discretizing the differential equations of the guiding-center motion, the action of the guiding-center motion is discretized and minimized to obtain the iteration rules for advancing the dynamics. The VSI conserves exactly a discrete Lagrangian symplectic structure and has better numerical properties over a long integration time, compared with standard integrators, such as the standard and adaptive fourth order Runge-Kutta (RK4) methods. Applying the VSI method to guiding-center dynamics in the inner magnetosphere, we can accurately calculate the particles'orbits for an arbitrary long simulating time with good conservation property. When a time-independent convection and corotation electric field is considered, the VSI method can give the accurate single particle orbit, while the RK4 method gives an incorrect orbit due to its intrinsic error accumulation over a long integrating time.

• OSTI ID: 21537818
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 5 Vol. 18; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
CALCULATION METHODS
CHARGED PARTICLES
CHARGED-PARTICLE TRANSPORT
CONVECTION
EARTH ATMOSPHERE
EARTH MAGNETOSPHERE
ENERGY TRANSFER
FLUID MECHANICS
HEAT TRANSFER
HYDRODYNAMICS
ITERATIVE METHODS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MASS TRANSFER
MATHEMATICAL LOGIC
MECHANICS
ORBITS
PLASMA SIMULATION
RADIATION TRANSPORT
SIMULATION
VARIATIONAL METHODS