Hamiltonian derivation of the Charney-Hasegawa-Mima equation

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

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

The Charney-Hasegawa-Mima equation is an infinite-dimensional Hamiltonian system with dynamics generated by a noncanonical Poisson bracket. Here a first principle Hamiltonian derivation of this system, beginning with the ion fluid dynamics and its known Hamiltonian form, is given.

Domaines: Dynamique Chaotique [nlin.CD]

Emanuele Tassi, Cristel Chandre, Philip Morrison. Hamiltonian derivation of the Charney-Hasegawa-Mima equation. Physics of Plasmas, 2009, 16, pp.082301. ⟨10.1063/1.3194275⟩. ⟨hal-00395319v2⟩