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Hamiltonian in guiding center theory: a symplectic structure approach
journal contribution
posted on 2021-01-12, 13:55 authored by Anatoly NeishtadtAnatoly Neishtadt, Anton ArtemyevThe guiding center approximation represents a very powerful tool for analyzing and modeling a charged particle motion in strong magnetic fields. This approximation is based on conservation of the adiabatic invariant, magnetic moment. Hamiltonian equations for the guiding centre motion are traditionally intoduced using a non-canonical symplectic structure. Such approach requires application of non-canonical Hamiltonian perturbation theory for calculations of the magnetic moment corrections. In this study we present an alternative approach with canonical Hamiltonian equations for guiding centre motion in time-dependent electromagnetic fields. We show that the derived Hamiltonian decouples three types of motion (gyrorotation, field-aligned motion, and across-field drifts), and each type is described by a pair of conjugate variables. This form of Hamiltonian and symplectic structure allows simple introduction of adiabatic invariants and can be useful for analysis of various plasma systems.
History
School
- Science
Department
- Mathematical Sciences
Published in
Proceedings of the Steklov Institute of MathematicsVolume
310Issue
1Pages
214-219Publisher
SpringerVersion
- AM (Accepted Manuscript)
Rights holder
© Pleiades Publishing, LtdPublisher statement
This is a post-peer-review, pre-copyedit version of an article published in Proceedings of the Steklov Institute of Mathematics. The final authenticated version is available online at: https://doi.org/10.1134/S008154382005017XAcceptance date
2020-05-29Publication date
2020-12-04Copyright date
2020ISSN
0081-5438eISSN
1531-8605Publisher version
Language
- en
Depositor
Prof Anatoly Neishtadt. Deposit date: 30 May 2020Usage metrics
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