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Journal Articles Monthly Notices of the Royal Astronomical Society Year : 2020

Solar turbulence from sunspot records


It is generally assumed that coupling between the turbulent flow and the magnetic field at the top of the Sun's convection zone leads to a Kolmogorov cascade of kinetic to magnetic energy. An inertial range and a slope value close to -5/3 have been recognized in a log-log diagram of power spectral density versus frequency (or period). However, published values of the slope have large uncertainties and the inertial period range is limited to 0.1 s to 2 yr. We have applied an adapted version of the singular spectrum analysis (SSA) method to the series of (quasi-) daily sunspot numbers ISSN (an indirect way of monitoring solar activity) from 1868 to 2019. The log-log diagram of ISSN variance of SSA components versus frequency displays an inertial slope value of -1.66 ± 0.16 and an inertial range from about 4 to 100 yr. This is consistent with the existence of Kolmogorov turbulent behaviour in the Sun's convection zone.
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insu-03584806 , version 1 (22-02-2022)



J. L. Le Mouël, F. Lopes, V. Courtillot. Solar turbulence from sunspot records. Monthly Notices of the Royal Astronomical Society, 2020, 492, pp.1416-1420. ⟨10.1093/mnras/stz3503⟩. ⟨insu-03584806⟩
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