Hamiltonian formulation of the modified Hasegawa Mima equation

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

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

We derive the Hamiltonian structure of the modified Hasegawa-Mima equation from the ion fluid equations applying Dirac's theory of constraints. We discuss the Casimirs obtained from the corresponding Poisson structure.

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

Cristel Chandre, Philip J. Morrison, Emanuele Tassi. Hamiltonian formulation of the modified Hasegawa Mima equation. Physics Letters A, 2014, 378, pp.956. ⟨10.1016/j.physleta.2014.01.048⟩. ⟨hal-00863399⟩