# On the Description of Transverse Wave Propagation Along Thin Magnetic Flux Tubes

## TL;DR

This paper compares two theoretical approaches to describe transverse wave propagation in thin magnetic flux tubes, revealing discrepancies due to different plasma motion equations and suggesting revisions for more accurate modeling.

## Contribution

It analyzes and contrasts the elastic thread model and series expansion methods, highlighting the need to revise plasma motion equations in flux tube wave studies.

## Key findings

- Discrepancies are due to phenomenological plasma motion equations.
- Series expansion approach provides a more consistent description.
- Revisions are needed in the elastic thread model for accuracy.

## Abstract

Two approaches are used for description of linear transverse (kink) modes excited in a vertical thin magnetic flux tube. First one is based on the elastic thread model (Spruit, 1981). The second one follows from the the Taylor and Laurent series expansions of wave variables with respect to the tube radius inside and outside of the magnetic flux tube (Lopin and Nagorny, 2013). It has been shown that the main reason of the discrepancy of these approaches is related to the phenomenological equation of plasma motion used in the former case. This suggests that results obtained on the basis of this equation should be revised.