Bayesian Analysis of Multiple Harmonic Oscillations in the Solar Corona

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.

5 pages

References in corpus (3)

• Bayes in the sky: Bayesian inference and model selection in cosmology
• The effect of the environment on the P1/P2 period ratio for kink oscillations of coronal loops
• Transverse kink oscillations of expanding coronal loops

Cited by in corpus (11)

• Kink oscillations of coronal loops
• Wave Heating of the Solar Atmosphere
• Magnetohydrodynamic Fast Sausage Waves in the Solar Corona
• The behavior of transverse waves in nonuniform solar flux tubes. II. Implications for coronal loop seismology
• Bayesian Coronal Seismology
• Non-linear damping of standing kink waves computed with Elsasser variables
• Determination of Transverse Density Structuring from Propagating MHD Waves in the Solar Atmosphere
• Prominence seismology using the period ratio of transverse thread oscillations
• Novel data analysis techniques in coronal seismology
• Comparison of damping mechanisms for transverse waves in solar coronal loops
• Stellar dynamo models with prominent surface toroidal fields