Equivalent representations of higher-order Hamiltonian guiding-center theory

2012/05/25 by Alain J. Brizard, Brizard, Alain J., N. Tronko +2 · 1 citation
Engineering · Physics and Astronomy · #Astro and Planetary Science #FOS: Physical sciences #Geophysics and Sensor Technology #Plasma Physics (physics.plasm-ph) #Quantum and Classical Electrodynamics #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1205.5772

4 pages

arxiv created 2012/05/25 · openalex publication_date 2012/05/25 · arxiv updated 2012/05/28 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

Two complementary representations of higher-order guiding-center theory are presented, which are distinguished by whether higher-order corrections due to magnetic-field nonuniformity appear in the guiding-center Poisson bracket or the guiding-center Hamiltonian. The equivalence of these two representations implies that the guiding-center gyroaction adiabatic invariant and the guiding-center Hamilton equations of motion are representation-invariants. By using a new perturbative hierarchy in guiding-center theory, second-order corrections are introduced in Hamiltonian guiding-center theory without the need to calculate the guiding-center transformation at second order.

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