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

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

2011-03-15

arxiv.org/abs/1103.2900v1

Physics of Plasmas 18, 6 (2011) 062105

Physics

Plasma Physics

7 pages, one column

Scientific paper

10.1063/1.3591364

We consider a plasma described by means of a two-dimensional fluid model across a constant but non-uniform magnetic field $\mathbf{B} = B(x,y) \mathbf{\hat{z}}$. 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.

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