189 citations · 1.6k across the 88 of their papers we have counts for
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A mimetic discretization of the macroscopic Maxwell equations in Hamiltonian form
William Barham, Yaman Güçlü, Philip J. Morrison +1
A mimetic spectral element discretization, utilizing a novel Galerkin projection Hodge star operator, of the macroscopic Maxwell equations in Hamiltonian form is presented. The ide…
A Hamiltonian model for the macroscopic Maxwell equations using exterior calculus
William Barham, Philip J. Morrison, Eric Sonnendrücker
A Hamiltonian field theory for the macroscopic Maxwell equations with fully general polarization and magnetization is stated in the language of differential forms. The precise proc…
Clebsch Canonization of Lie-Poisson Systems
Buddhika Jayawardana, Philip J. Morrison, Tomoki Ohsawa
We propose a systematic procedure called the Clebsch canonization for obtaining a canonical Hamiltonian system that is related to a given Lie-Poisson equation via a momentum map. W…
The kinetic origin of the fluid helicity -- a symmetry in the kinetic phase space
Zensho Yoshida, Philip J. Morrison
Helicity, a topological degree that measures the winding and linking of vortex lines, is preserved by ideal (barotropic) fluid dynamics. In the context of the Hamiltonian descripti…
Transport barriers in symplectic maps
R. L. Viana, I. L. Caldas, J. D. Szezech +10
Chaotic transport is a subject of paramount importance in a variety of problems in plasma physics, specially those related to anomalous transport and turbulence. On the other hand,…