Evolution of the Kippenhahn-Schlueter Prominence Model Magnetic Field Under Cowling Resistivity

TL;DR

This study uses 1.5D simulations to analyze how Cowling resistivity influences the magnetic field evolution in prominence models, revealing significant effects on current sheet dynamics and instability timescales.

Contribution

It introduces a detailed analysis of Cowling resistivity effects on prominence magnetic fields, highlighting the impact on current sheet evolution and tearing instability timescales.

Findings

Current sheet thickness evolves as a power law in time under Cowling resistivity.

Tearing instability timescale is reduced by over an order of magnitude with Cowling resistivity.

Prominence structure can be significantly altered, enabling tearing instability.

Abstract

We present the results from 1.5D diffusion simulations of the Kippenhahn-Schlueter prominence model magnetic field evolution under the influence of the ambipolar terms of Cowling resistivity. We show that initially the evolution is determined by the ratio of the horizontal and vertical magnetic fields, which gives current sheet thinning (thickening) when this ratio is large (small) and a marginal case where a new characteristic current sheet length scale is formed. After a timespan greater than the Cowling resistivity time, the current sheet thickens as a power law of $t$ independent of the ratio of the field strengths. These results imply that when Cowling resistivity is included in the model, the tearing instability time scale is reduced by more than one order of magnitude when the ratio of the horizontal field to the vertical field is 20\% or less. These results imply that, over the course of its lifetime, the structure of the prominence can be significantly altered by Cowling resistivity, and in some cases will allow the tearing instability to occur.