82 citations · 876 across the 71 of their papers we have counts for
6 papers · 1 filter
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…
Energy and momentum conservation in the Euler-Poincaré formulation of local Vlasov-Maxwell-type systems
Eero Hirvijoki, Joshua W. Burby, David Pfefferlé +1
The action principle by Low [Proc. R. Soc. Lond. A 248, 282--287] for the classic Vlasov-Maxwell system contains a mix of Eulerian and Lagrangian variables. This renders the Noethe…
Nontrivial topology in the continuous spectrum of a magnetized plasma
Jeffrey B. Parker, J. W. Burby, J. B. Marston +1
Classification of matter through topological phases and topological edge states between distinct materials has been a subject of great interest recently. While lattices have been t…
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…
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…
Gauge-free electromagnetic gyrokinetic theory
J. W. Burby, A. J. Brizard
A new gauge-free electromagnetic gyrokinetic theory is developed, in which the gyrocenter equations of motion and the gyrocenter phase-space transformation are expressed in terms o…