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math-ph2019
Some mathematics for quasi-symmetry
Joshua W. Burby, Nikos Kallinikos, Robert S. MacKay
Quasi-symmetry of a steady magnetic field means integrability of first-order guiding-centre motion. Here we derive many restrictions on the possibilities for a quasi-symmetry. We a…
math-ph2019
Guiding center dynamics as motion on a formal slow manifold in loop space
J. W. Burby
Since the late 1950's, the dynamics of a charged particle's ``guiding center" in a strong, inhomogeneous magnetic field have been understood in terms of near-identity coordinate tr…
math-ph2019
Variational nonlinear WKB in the Eulerian frame
J. W. Burby, D. E. Ruiz
Nonlinear WKB is a multiscale technique for studying locally-plane-wave solutions of nonlinear partial differential equations (PDE). Its application comprises two steps: (1) replac…