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

Abstract

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

7 pages, one column

References in corpus (1)

• The Character of Transport Caused by ExB Drift Turbulence

Cited by in corpus (7)

• Electron-scale reduced fluid models with gyroviscous effects
• Dynamics of Ion Temperature Gradient Turbulence and Transport with a Static Magnetic Island
• Hamiltonian and action formalisms for two-dimensional gyroviscous MHD
• Lagrangian and Dirac constraints for the ideal incompressible fluid and magnetohydrodynamics
• The action principle for generalized fluid motion including gyroviscosity
• Hamiltonian closures for two-moment fluid models derived from drift-kinetic equations
• A class of three-dimensional gyroviscous magnetohydrodynamic models