11 papers
A Structure-Preserving Decorated Particle Method for the Vlasov-Poisson System
Mandela B. Quashie, J. W. Burby, Andrew J. Christlieb +1
We revisit the Scovel-Weinstein framework (Scovel & Weinstein, CPAM 1994) for reducing the Vlasov-Poisson system while preserving its Hamiltonian structure. Standard particle-in-ce…
Statistical equilibrium model for stellarators
Maximilian Ruth, Joshua W. Burby, Wrick Sengupta +1
In three dimensional toroidal domains without symmetry, the standard magnetohydrodynamic (MHD) equilibrium model used for magnetic confinement fusion does not generally support smo…
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 electro…
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…