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arXiv · 1205.5772

Equivalent representations of higher-order Hamiltonian guiding-center theory

Alain J. Brizard·Natalia Tronko
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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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Alain J. Brizard, Natalia Tronko. 2012-05-25. Equivalent representations of higher-order Hamiltonian guiding-center theory. https://arxiv.org/abs/1205.5772

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