88 citations · 766 across the 71 of their papers we have counts for
73 papers
Nonlinear Schrödinger equation on a closed 3D elastica knot
Alain J. Brizard
The present work introduces a new relation between closed elastica knots with the solution of the nonlinear Schrödinger equation (NLSE) through the Hasimoto transformation. An elas…
Guiding-center dynamics in a screw-pinch magnetic field
Alain J. Brizard
The guiding-center dynamics of charged particles moving in a doubly-symmetric screw-pinch magnetic field is investigated. In particular, we verify that Kruskal's adiabatic-invarian…
Lie-transform derivation of oscillation-center quasilinear theory
Alain J. Brizard
The derivation of the oscillation-center quasilinear theory in an unmagnetized plasma by Dewar \cite{Dewar:1973} is rederived by Lie-transform perturbation method.
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…
Metriplectic bracket for guiding-center Vlasov-Maxwell-Landau theory
A. J. Brizard, H. Sugama
The metriplectic formulation of collisional guiding-center Vlasov-Maxwell-Landau theory is presented. The guiding-center Landau collision operator, which describes collisions invol…
Scenarios for magnetic X-point collapse in 2D incompressible dissipationless extended magnetohydrodynamics
Alain J. Brizard
The equations of 2D incompressible dissipationless extended magnetohydrodynamics (XMHD) extend the equations of incompressible Hall MHD (HMHD) by retaining finite-electron inertia.…