49 citations · 215 across the 14 of their papers we have counts for
14 papers
Hamiltonian formulation of the quasineutral Vlasov-Poisson system
J. W. Burby, D. A. Kaltsas, P. J. Morrison +2
Slow manifold reduction and the theory of Poisson-Dirac submanifolds are used to deduce a Hamiltonian formulation for a quasineutral limit of the planar, collisionless, magnetized…
A self-consistent Hamiltonian model of the ponderomotive force and its structure preserving discretization
William Barham, Yaman Güçlü, Philip J. Morrison +1
In the presence of an inhomogeneous oscillatory electric field, charged particles experience a net force, averaged over the oscillatory timescale, known as the ponderomotive force.…
Axisymmetric hybrid Vlasov equilibria with applications to tokamak plasmas
D. A. Kaltsas, A. Kuiroukidis, P. J. Morrison +1
We derive axisymmetric equilibrium equations in the context of the hybrid Vlasov model with kinetic ions and massless fluid electrons, assuming isothermal electrons and deformed Ma…
Hamiltonian kinetic-Hall Magnetohydrodynamics with fluid and kinetic ions in the current and pressure coupling schemes
D. A. Kaltsas, G. N. Throumoulopoulos, P. J. Morrison
We present two generalized hybrid kinetic-Hall magnetohydrodynamics (MHD) models describing the interaction of a two-fluid bulk plasma, which consists of thermal ions and electrons…
Energy-Casimir, dynamically accessible, and Lagrangian stability of extended magnetohydrodynamic equilibria
D. A. Kaltsas, G. N. Throumoulopoulos, P. J. Morrison
The formal stability analysis of Eulerian extended magnetohydrodynamics (XMHD) equilibria is considered within the noncanonical Hamiltonian framework by means of the energy-Casimir…
Ellipticity conditions for the extended MHD Grad-Shafranov-Bernoulli equilibrium equations
D. A. Kaltsas, G. N. Throumoulopoulos, P. J. Morrison
In this study, we find the points of transition between elliptic and hyperbolic regimes for the axisymmetric extended magnetohydrodynamic (MHD) equilibrium equations. The elliptici…
Helically symmetric extended magnetohydrodynamics: Hamiltonian formulation and equilibrium variational principles
D. A. Kaltsas, G. N. Throumoulopoulos, P. J. Morrison
Hamiltonian extended magnetohydrodynamics (XMHD) is restricted to respect helical symmetry by reducing the Poisson bracket for 3D dynamics to a helically symmetric one, as an exten…
Translationally symmetric extended MHD via Hamiltonian reduction: Energy-Casimir equilibria
D. A. Kaltsas, G. N. Throumoulopoulos, P. J. Morrison
The Hamiltonian structure of ideal translationally symmetric extended MHD (XMHD) is obtained by employing a method of Hamiltonian reduction on the three-dimensional noncanonical Po…
Derivation of the Hall and Extended Magnetohydrodynamics Brackets
E. C. D'Avignon, P. J. Morrison, M. Lingam
There are several plasma models intermediate in complexity between ideal magnetohydrodynamics (MHD) and two-fluid theory, with Hall and Extended MHD being two important examples. I…
A Hamiltonian Five-Field Gyrofluid Model
I. Keramidas Charidakos, F. L. Waelbroeck, P. J. Morrison
A Lie-Poisson bracket is presented for a five-field gyrofluid model, thereby showing the model to be Hamiltonian. The model includes the effects of magnetic field curvature and des…
Inertial magnetohydrodynamics
M. Lingam, P. J. Morrison, E. Tassi
A version of extended magnetohydrodynamics (MHD) that incorporates electron inertia is obtained by constructing an action principle. Unlike MHD which freezes in magnetic flux, the…
The action principle for generalized fluid motion including gyroviscosity
M. Lingam, P. J. Morrison
A general set of fluid equations that allow for energy-conserving momentum transport by gyroscopic motion of fluid elements is obtained. The equations are produced by a class of ac…
Action Principles for Extended MHD Models
I. Keramidas Charidakos, M. Lingam, P. J. Morrison +2
The general, non-dissipative, two-fluid model in plasma physics is Hamiltonian, but this property is sometimes lost or obscured in the process of deriving simplified (or reduced) t…
Hamiltonian and action formalisms for two-dimensional gyroviscous MHD
P. J. Morrison, M. Lingam, R. Acevedo
A general procedure for constructing action principles for continuum models via a generalization of Hamilton's principle of mechanics is described. Through the procedure, an action…