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On the Hamiltonian formulation of incompressible ideal fluids and magnetohydrodynamics via Dirac's theory of constraints
Cristel Chandre, Philip J. Morrison, Emanuele Tassi
The Hamiltonian structures of the incompressible ideal fluid, including entropy advection, and magnetohydrodynamics are investigated by making use of Dirac's theory of constrained…
Singular Casimir Elements of the Euler Equation and Equilibrium Points
Zensho Yoshida, Philip J. Morrison, Fernando Dobarro
The problem of the nonequivalence of the sets of equilibrium points and energy-Casimir extremal points, which occurs in the noncanonical Hamiltonian formulation of equations descri…
Hamiltonian Dynamics of Spatially-Homogeneous Vlasov-Einstein Systems
Takahide Okabe, P. J. Morrison, J. E. Friedrichsen +1
We introduce a new matter action principle, with a wide range of applicability, for the Vlasov equation in terms of a conjugate pair of functions. Here we apply this action princip…
Finite-time rotation number: a fast indicator for chaotic dynamical structures
J. D. Szezech, A. B. Schelin, I. L. Caldas +3
Lagrangian coherent structures are effective barriers, sticky regions, that separate phase space regions of different dynamical behavior. The usual way to detect such structures is…
Gauge-Free Hamiltonian Structure of the Spin Maxwell-Vlasov Equations
M. Marklund, P. J. Morrison
We derive the gauge-free Hamiltonian structure of an extended kinetic theory, for which the intrinsic spin of the particles is taken into account. Such a semi-classical theory can…