Oscillations of coronal loops using Rayleigh-Ritz technique

TL;DR

This study applies the Rayleigh-Ritz variational method to analyze transverse oscillations of magnetic flux tubes in the solar corona, providing a computational approach that aligns well with existing research.

Contribution

It introduces the Rayleigh-Ritz scheme for modeling coronal loop oscillations, offering a new computational technique for solving MHD eigenvalue problems in solar physics.

Findings

Computed fundamental and higher order kink frequencies for stratified flux tubes.

Results agree well with previous studies, validating the method.

Provides a new approach for analyzing coronal loop oscillations.

Abstract

In this paper, we apply the Rayleigh-Ritz Variational Scheme for studying the transverse oscillations of a magnetic flux tube. The flux tube is considered in low-$\beta$ solar coronal condition. The perturbations decomposed into irrotational and solenoidal components and MHD equations are reduced as a matrix eigenvalue problem. In the case of longitudinally stratified thin flux tube, the fundamental and higher order kink frequencies are computed. The results are in good agreements with previous studies.