Stability of scrape-off layer plasma: a modified Rayleigh-Benard problem

TL;DR

This paper analyzes the linear stability of a plasma model in the tokamak scrape-off layer, revealing how various plasma parameters influence the onset of instability through a modified Rayleigh-Benard convection analogy.

Contribution

It introduces a modified Rayleigh-Benard problem framework for plasma stability analysis, incorporating non-uniform gradients, damping, and advection effects in the scrape-off layer.

Findings

Identifies stability thresholds as functions of plasma parameters.

Characterizes the influence of non-uniform gradients on instability onset.

Performs extensive parameter scans to map stability regimes.

Abstract

We present a linear stability analysis of a two-dimensional fluid model used to study the plasma dynamics in the scrape-off layer of tokamaks. The model equations are based on the Braginskii fluid equations under the assumptions of drift ordering and an electrostatic plasma. The model also employs the common slab geometry approximation, whereby the magnetic field is assumed constant and straight, with the effects of curvature reintroduced as effective gravitational terms. We demonstrate that the governing plasma equations for the scrape-off layer can be viewed as describing a thermal convection problem with additional effects. The new features include a non-uniform basic state gradient, linear damping terms, and additional advective terms. We characterise the conditions at the onset of instability, and perform an extensive parameter scan to describe how the stability threshold varies as a function of plasma parameters.