27 citations · 132 across the 10 of their papers we have counts for
10 papers
Improved accuracy in degenerate variational integrators for guiding center and magnetic field line flow
J. W. Burby, J. M. Finn, C. L. Ellison
First-order accurate degenerate variational integration (DVI) was introduced in C. L. Ellison et. al, Phys. Plasmas 25, 052502 (2018) for systems with a degenerate Lagrangian, i.e.…
Cross-Code verification and sensitivity analysis to effectively model the electrothermal instability
R. L. Masti, C. L. Ellison, J. R. King +2
This manuscript presents verification cases that are developed to study the electrothermal instability (ETI). Specific verification cases are included to ensure that the unit physi…
Comparison of ablators for the polar direct drive exploding pusher platform
Heather D. Whitley, G. Elijah Kemp, Charles Yeamans +36
We examine the performance of pure boron, boron carbide, high density carbon, and boron nitride ablators in the polar direct drive exploding pusher (PDXP) platform. The platform us…
Degenerate Variational Integrators for Magnetic Field Line Flow and Guiding Center Trajectories
C. Leland Ellison, John M. Finn, Joshua W. Burby +3
Symplectic integrators offer many advantages for the numerical solution of Hamiltonian differential equations, including bounded energy error and the preservation of invariant sets…
Analytic expressions for electron-ion temperature equilibration rates from the Lenard-Balescu equation
Christian R. Scullard, Susana Serna, Lorin X. Benedict +2
In this work, we elucidate the mathematical structure of the integral that arises when computing the electron-ion temperature equilibration time for a homogeneous weakly-coupled pl…
Toroidal regularization of the guiding center Lagrangian
J. W. Burby, C. L. Ellison
In the Lagrangian theory of guiding center motion, an effective magnetic field appears prominently in the equ…
Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field
D. E. Ruiz, C. L. Ellison, I. Y. Dodin
We report a point-particle ponderomotive model of a Dirac electron oscillating in a high-frequency field. Starting from the Dirac Lagrangian density, we derive a reduced phase-spac…
Comment on "Symplectic integration of magnetic systems": a proof that the Boris algorithm is not variational
C. L. Ellison, J. W. Burby, H. Qin
The Boris algorithm for integrating charged particle trajectories in electric and magnetic fields is popular due to its simple implementation, rapid iteration, and observed long-te…
Variational integrators for perturbed non-canonical Hamiltonian systems
J. W. Burby, C. L. Ellison, H. Qin
Finite-dimensional non-canonical Hamiltonian systems arise naturally from Hamilton's principle in phase space. We present a method for deriving variational integrators that can be…
Initializing and stabilizing variational multistep algorithms for modeling dynamical systems
C. L. Ellison, J. W. Burby, J. M. Finn +2
Backward error initialization and parasitic mode control are well-suited for use in algorithms that arise from a discrete variational principle on phase-space dynamics. Dynamical s…