Equivalent representations of higher-order Hamiltonian guiding-center theory
Plasma Physics
2012-05-28 v1
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.
Keywords
Cite
@article{arxiv.1205.5772,
title = {Equivalent representations of higher-order Hamiltonian guiding-center theory},
author = {Alain J. Brizard and Natalia Tronko},
journal= {arXiv preprint arXiv:1205.5772},
year = {2012}
}
Comments
4 pages