Gyromap for a two-dimensional Hamiltonian fluid model derived from Braginskii's closure for magnetized plasmas

Olivier Izacard (1, 2) , Cristel Chandre (1, 2) , Emanuele Tassi (1, 2) , Guido Ciraolo (3)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 M2P2 - Modélisation et Simulation Numérique (en mécanique des fluides)

We consider a plasma described by means of a two-dimensional fluid model across a constant but non-uniform magnetic field B=B(x,y)z. The dynamical evolution of the density and the vorticity takes into account the interchange instability and magnetic field inhomogeneities. First, in order to described the Finite Larmor Radius effects we apply the gyromap to build a Hamiltonian model with ion temperature from a cold-ion model. Second, we show that the gyromap is justified using Braginskii's closure for the stress tensor as well as an apt ordering on the fluctuating quantities.

Domaines: Physique des plasmas [physics.plasm-ph]

Olivier Izacard, Cristel Chandre, Emanuele Tassi, Guido Ciraolo. Gyromap for a two-dimensional Hamiltonian fluid model derived from Braginskii's closure for magnetized plasmas. 2011. ⟨hal-00575638v1⟩