Hamiltonian structure of two-fluid plasma dynamics

Hamiltonian structure of a drift-kinetic model and Hamiltonian closures for its two-moment fluid reductions

Hamiltonian of a homogeneous two-component plasma.

The Hamiltonian of one- and two-component plasmas is calculated in the negligible radiation Darwin approximation. Since the Hamiltonian is the phase space energy of the system its form indicates, according to statistical mechanics, the nature of the thermal equilibrium that plasmas strive to attain. The main issue is the length scale of the magnetic interaction energy. In the past a screening l...

A Hamiltonian fluid-kinetic model for a two-species non-neutral plasma

Two-forms and Noncommutative Hamiltonian dynamics

Abstract. In this paper we extend the standard differential geometric theory of Hamiltonian dynamics to noncommutative spaces, beginning with symplectic forms. Derivations on the algebra are used instead of vector fields, and interior products and Lie derivatives with respect to derivations are discussed. Then the Poisson bracket of certain algebra elements can be defined by a choice of closed ...

On Hamiltonian and Action Principle Formulations of Plasma Dynamics

A general discussion of Hamiltonian and action principle formulations for fliud and plasma models is given. A procedure, based on Hamilton's principle of mechanics but adapted for continua, for the construction of action principles for fliud and kinetic models is given. The transformation from action principles in terms of the Lagrangian variable description to the Eulerian variable description...