82 citations · 876 across the 71 of their papers we have counts for
4 papers · 2 filters
Diagnosing symplecticity in simulations of high-dimensional Hamiltonian systems
William Barham, J. W. Burby
Integrals of the Liouville -form, known as the first Poincar{é} integral invariant, provide a computable figure of merit for monitoring the conservation of symplecticity in the…
Is There an Exact Magnetic-Moment for Charged Particle Motion in a Homogeneous, Time-Dependent Magnetic Field?
Michael Updike, Joshua Burby
The nonperturbative guiding-center model provides an exact alternative to full-orbit simulations of charged particle dynamics in situations where traditional guiding-center theory…
Exact expressions for nonperturbative guiding center theory in symmetric fields
I. Hollas, R. Agarwal, J. W. Burby +1
We apply a recently-developed nonperturbative guiding center formalism to charged particle dynamics in fields with two-parameter continuous symmetry groups. This entails finding ex…
Imposing quasineutrality on electrostatic plasmas via the Dirac theory of constraints
D. A. Kaltsas, J. W. Burby, P. J. Morrison +2
We present a method for imposing quasineutrality and, more generally, charge density conservation in the Vlasov-Poisson (VP) and Vlasov-Ampère (VA) systems, which describe electros…