Fitting procedure and data for "Identification of Nonlinear Damping of Transverse Loop Oscillations by KHI-induced Turbulence"

This repository is for the paper "Identification of Nonlinear Damping of Transverse Loop Oscillations by KHI-induced Turbulence" by Zhong et al. It is associated with the manuscript number AAS65137. This repository includes the function, fitting procedure, and synthetic data as demonstarted in the article "Identification of Nonlinear Damping of Transverse Loop Oscillations by KHI-induced Turbulence" by Zhong, Hillier & Arregui. The manuscript has been submitted to ApJ and now in revision (2025 June). The function describe the time series of the displacement amplitude of a transverse oscillation damped by KHI-induced turbulence. Version written in IDL and Python are provided, in mcmc_model_fitting.pro and nonlinear_model.py respectively. The sine and cosine integral function in Python is scipy.special.sici in Python and in IDL is "sici.pro" included in this repository. Synthetic data used to test the reliablity of the MCMC fitting procedure: "nl_data_*.sav" "w_A_factor_table.sav" is a look-up table for the density contrast and the corresponding ratio of the oscillation frequency of the mixing layer and the loop core \omega_A/\omega_k.