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

TL;DR

This paper develops a Hamiltonian fluid model for magnetized plasmas that incorporates finite Larmor radius effects using a gyromap, based on Braginskii's closure, to better understand plasma behavior in non-uniform magnetic fields.

Contribution

It introduces a novel Hamiltonian model for plasma dynamics that includes ion temperature effects via a gyromap, justified through Braginskii's stress tensor closure.

Findings

Successfully derived a Hamiltonian model with ion temperature effects.

Validated the gyromap approach using Braginskii's closure.

Enhanced understanding of plasma behavior with magnetic field inhomogeneities.

Abstract

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