14 citations · 27 across the 5 of their papers we have counts for
5 papers
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 electros…
Scattering Theory in Noncanonical Phase Space: A Drift-Kinetic Collision Operator for Weakly Collisional Plasmas
Naoki Sato, Philip J. Morrison
After developing a scattering theory for grazing collisions in general noncanonical phase spaces, we introduce a guiding center collision operator in five-dimensional phase space d…
Construction of symplectic systems from parameter-drift Hamiltonian maps
Gabriel C. Grime, Philip J. Morrison
We reveal the symplectic nature of parameter-drift maps by embedding them into extended phase space. Applying the embedding to the parameter-drift standard nontwist map, our constr…
A Collision Operator for Describing Dissipation in Noncanonical Phase Space
Naoki Sato, Philip J. Morrison
The phase space of a noncanonical Hamiltonian system is partially inaccessible due to dynamical constraints (Casimir invariants) arising from the kernel of the Poisson tensor. When…
Lifting of the Vlasov-Maxwell Bracket by Lie-transform Method
A. J. Brizard, P. J. Morrison, J. W. Burby +2
The Vlasov-Maxwell equations possess a Hamiltonian structure expressed in terms of a Hamiltonian functional and a functional bracket. In the present paper, the transformation ("lif…