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

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

Hamiltonian closures for two-moment fluid models derived from drift-kinetic equations

We derive the conditions under which the fluid models obtained from the first two moments of Hamiltonian drift-kinetic systems of interest to plasma physics, preserve a Hamiltonian structure. The adopted procedure consists of determining closure relations that allow to truncate the Poisson bracket of the drift-kinetic system, expressed in terms of the moments, in such a way that the resulting o...

Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments

We present an infinite family of Hamiltonian electromagnetic fluid models for plasmas, derived from drift-kinetic equations. An infinite hierarchy of fluid equations is obtained from a Hamiltonian drift-kinetic systems by taking moments of a generalized distribution function and using Hermite polynomials as weight functions of the velocity coordinate along the magnetic guide field. Each fluid m...

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

Hamiltonian fluid closures of the Vlasov-Ampère equations: From water-bags to N moment models