Cairns-Tsallis distribution applied to differences of magnetic field intensity in solar wind

Abstract. Relevance of the Cairns-Tsallis probability distribution in its application to time series of spatial magnetic field differences is shown. In particular, we explore its ability to explain the data obtained by the Ulysses mission during solar cycles 23 and 24. Our findings reveal that the Cairns-Tsallis density function provides an optimal fit to the data, showing a sensitivity to the small time scale of magnetic field changes. Fit parameters obtained with this model were analyzed, as well as some multifractal indices obtained through corresponding time series analysis. Furthermore, significant discrepancies have been identified between our results and those obtained by other authors, highlighting the appropriateness of the Cairns-Tsallis distribution in capturing the underlying complexity in the data.