The three-dimensional finite Larmor radius approximation

On the three-dimensional finite Larmor radius approximation: the case of electrons in a fixed background of ions

This paper is concerned with the analysis of a mathematical model arising in plasma physics, more specifically in fusion research. It directly follows [17], where the tri-dimensional analysis of a Vlasov-Poisson equation with finite Larmor radius scaling was led, corresponding to the case of ions with massless electrons whose density follows a linearized Maxwell-Boltzmann law. We now consider t...

Finite Larmor Radius Effects in Two-Dimensional Electrostatic Plasma Turbulence

Low frequency electrostatic turbulence in strongly magnetized, low @-plasmas, is studied in two spatial dimensions. In this limit the guiding center velocity in the direction perpendicular to a homogeneous magnetic field is approximated by the E x Bo/B,2-velocity. The electron Larmor radius can safely be set to zero for most relevant conditions, but the ion-dynamics are noticeably influenced by...

First-order finite-Larmor-radius fluid modeling of tearing and relaxation in a plasma pinch

The Finite Larmor Radius Approximation

The presence of a large external magnetic field in a plasma introduces an additional time-scale which is very constraining for the numerical simulation. Hence it is very useful to introduce averaged models which remove this time-scale. However, depending on other parameters of the plasma, different starting models for the asymptotic analysis may be considered. We introduce here a generic framew...

Finite Larmor Radius Effects and Quantum Chaos

Informed by insights from quantum chaos theory, three approaches for estimating finite-Larmor-radius (FLR) stabilization of ideal magnetohydrodynamic (MHD) instabilities are discussed: phase space criteria based on the Weyl formula, “pseudo-FLR” modifications of MHD to suppress large perpendicular wavenumbers, and inclusion of drift corrections to the dispersion relation. PACS numbers: 52.35.Bj...