Higher order Hamiltonian fluid reduction of Vlasov equation
Chaotic Dynamics
2014-06-06 v2 Classical Physics
Plasma Physics
Abstract
From the Hamiltonian structure of the Vlasov equation, we build a Hamiltonian model for the first three moments of the Vlasov distribution function, namely, the density, the momentum density and the specific internal energy. We derive the Poisson bracket of this model from the Poisson bracket of the Vlasov equation, and we discuss the associated Casimir invariants.
Keywords
Cite
@article{arxiv.1403.2614,
title = {Higher order Hamiltonian fluid reduction of Vlasov equation},
author = {Maxime Perin and Cristel Chandre and Philip Morrison and Emanuele Tassi},
journal= {arXiv preprint arXiv:1403.2614},
year = {2014}
}