82 citations · 876 across the 71 of their papers we have counts for
5 papers · 1 filter
Gyrosymmetry: Global Considerations
J. W. Burby, H. Qin
In the guiding center theory, smooth unit vectors perpendicular to the magnetic field are required to define the gyrophase. The question of global existence of these vectors is add…
The Hamiltonian Mechanics of Stochastic Acceleration
J. W. Burby, A. I. Zhmoginov, H. Qin
We show how to find the physical Langevin equation describing the trajectories of particles undergoing collisionless stochastic acceleration. These stochastic differential equation…
Automation of The Guiding Center Expansion
J. W. Burby, J. Squire, H. Qin
We report on the use of the recently-developed Mathematica package \emph{VEST} (Vector Einstein Summation Tools) to automatically derive the guiding center transformation. Our Math…
VEST: abstract vector calculus simplification in Mathematica
Jonathan Squire, Joshua Burby, Hong Qin
We present a new package, VEST (Vector Einstein Summation Tools), that performs abstract vector calculus computations in Mathematica. Through the use of index notation, VEST is abl…
A Lagrangian perspective on the stability of ideal MHD equilibria with flow
Yao Zhou, J. W. Burby, Hong Qin
We take a careful look at two approaches to deriving stability criteria for ideal MHD equilibria. One is based on a tedious analysis of the linearized equations of motion, while th…