Slow manifolds of classical Pauli particle enable structure-preserving geometric algorithms for guiding center dynamics

Xiao, Jianyuan; Qin, Hong

doi:10.1016/j.cpc.2021.107981

Title: Slow manifolds of classical Pauli particle enable structure-preserving geometric algorithms for guiding center dynamics

Journal Article · Wed Apr 21 00:00:00 EDT 2021 · Computer Physics Communications

DOI:https://doi.org/10.1016/j.cpc.2021.107981· OSTI ID:1814587

Xiao, Jianyuan ^[1];

^[2]

Univ. of Science and Technology of China, Hefei (China). Dept. of Plasma Physics and Fusion Technology
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Since variational symplectic integrators for the guiding center was proposed, structure-preserving geometric algorithms have become an active research field in plasma physics. We found that the slow manifolds of the classical Pauli particle enable a family of structure-preserving geometric algorithms for guiding center dynamics with long-term stability and accuracy. This discovery overcomes the difficulty associated with the unstable parasitic modes for variational symplectic integrators when applied to the degenerate guiding center Lagrangian. It is a pleasant surprise that Pauli's Hamiltonian for electrons, which predated the Dirac equation and marks the beginning of particle physics, reappears in classical physics as an effective algorithm for solving an important plasma physics problem. This technique is applicable to other degenerate Lagrangians reduced from regular Lagrangians.

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Research Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: National MC Energy R&D Program; National Key Research and Development Program; National Natural Science Foundation of China (NSFC); USDOE

Grant/Contract Number:: AC02-09CH11466; 2018YFE0304100; 2016YFA0400600; 2016YFA0400601; 2016YFA0400602; NSFC-11905220; 11805273

OSTI ID:: 1814587

Alternate ID(s):: OSTI ID: 1815301

Journal Information:: Computer Physics Communications, Vol. 265; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY
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Guiding center motion
Geometric algorithm
Volume preserving algorithm
Discrete variation
Classical Pauli particle

Title: Slow manifolds of classical Pauli particle enable structure-preserving geometric algorithms for guiding center dynamics

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