Unmixing of Magnetic Hysteresis Loops Through a Modified Gamma-Cauchy Exponential Model
Авторы: Bellon U., Trindade R., Williams W.
2023 г.
GGG
Quantifying the contributions of distinct mineral populations in bulk magnetic experiments
greatly enhances the analysis of environmental and rock magnetism studies. Here, we develop a new method
of parametric unmixing of susceptibility components in hysteresis loops. Our approach is based on a modified
Gamma-Cauchy exponential model that accounts for variable skewness and kurtosis. The robustness of the
model is tested with synthetic curves that examine the effects of noise, sampling, and proximity (similar
coercivities) of susceptibility components. We provide a Python-based script, the Hist-unmix, which allows
the user to adjust a forward model of up to three ferromagnetic components as well as a dia/paramagnetic
contribution. Optimization of all the parameters is achieved through least squares fitting (Levenberg-Marquardt
method), with uncertainties of each inverted parameter calculated through a Monte Carlo error propagation
approach. For each ferromagnetic component, it is possible to estimate the saturation magnetization (Ms),
saturation remanent magnetization (Mrs) and the mean coercivity (
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