4 papers
On Minimizing Phase Space Energies
Michael Updike, Nicholas Bohlsen, Hong Qin +1
A primary technical challenge for harnessing fusion energy is to control and extract energy from a non-thermal distribution of charged particles. The fact that phase space evolves…
Gromov ground state in phase space engineering for fusion energy
Hong Qin, Elijah J. Kolmes, Michael Updike +2
Phase space engineering by RF waves plays important roles in both thermal D-T fusion and non-thermal advanced fuel fusion. But not all phase space manipulation is allowed, certain…
Spatial dynamics formulation of magnetohydrostatics
J. W. Burby, M. H. Updike
We present a formalism for importing techniques from dynamical systems theory in the study of three-dimensional magnetohydrodynamic (MHD) equilibria. By treating toroidal angle as…
An inclusive curvature-like framework for describing dissipation: metriplectic 4-bracket dynamics
Philip J. Morrison, Michael H. Updike
An inclusive framework for joined Hamiltonian and dissipative dynamical systems, which preserve energy and produce entropy, is given. The dissipative dynamics of the framework is b…