Higher order Hamiltonian fluid reduction of Vlasov equation

Maxime Perin (1, 2) , Cristel Chandre (1, 2) , Philip Morrison (3) , Emanuele Tassi (1, 2)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - Ex E8 Dynamique non linéaire
3 IFS - Institute for Fusion Studies

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.

Domaines: Dynamique Chaotique [nlin.CD]; Physique des plasmas [physics.plasm-ph]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Maxime Perin, Cristel Chandre, Philip Morrison, Emanuele Tassi. Higher order Hamiltonian fluid reduction of Vlasov equation. Annals of Physics, 2014, 348, pp.50. ⟨10.1016/j.aop.2014.05.011⟩. ⟨hal-00957983v2⟩