Bayesian Analysis of Multiple Harmonic Oscillations in the Solar Corona

TL;DR

This paper employs Bayesian analysis to interpret multiple harmonic oscillations in the solar corona, aiming to infer coronal density and magnetic field properties through model comparison.

Contribution

It introduces a Bayesian framework for analyzing coronal loop oscillations to distinguish between density stratification and magnetic expansion models.

Findings

Bayesian analysis effectively differentiates between models.

Model comparison indicates which physical hypothesis is more plausible.

Results improve understanding of coronal loop properties.

Abstract

The detection of multiple mode harmonic kink oscillations in coronal loops enables to obtain information on coronal density stratification and magnetic field expansion using seismology inversion techniques. The inference is based on the measurement of the period ratio between the fundamental mode and the first overtone and theoretical results for the period ratio under the hypotheses of coronal density stratification and magnetic field expansion of the wave guide. We present a Bayesian analysis of multiple mode harmonic oscillations for the inversion of the density scale height and magnetic flux tube expansion, under each of the hypotheses. Then, the two models are compared using a Bayesian model comparison scheme to assess how plausible each one is, given our current state of knowledge.