Abstract:
Transverse oscillations that do not show significant damping in solar coronal loops are found to be ubiquitous.
Recently, the discovery of high-frequency transverse oscillations in small-scale loops has been accelerated by the
Extreme Ultraviolet Imager on board Solar Orbiter. We perform a meta-analysis by considering the oscillation
parameters reported in the literature. Motivated by the power law of the velocity power spectrum of propagating
transverse waves detected with CoMP, we consider the distribution of energy fluxes as a function of oscillation
frequencies and the distribution of the number of oscillations as a function of energy fluxes and energies. These
distributions are described as a power law. We propose that the power-law slope (δ = −1.40) of energy fluxes
depending on frequencies could be used for determining whether high-frequency oscillations dominate the total
heating (δ < 1) or not (δ > 1). In addition, we found that the oscillation number distribution depending on energy
fluxes has a power-law slope of α = 1.00, being less than 2, which means that oscillations with high energy fluxes
provide the dominant contribution to the total heating. It is shown that, on average, higher energy fluxes are
generated from higher-frequency oscillations. The total energy generated by transverse oscillations ranges from
about 1020 to 1025 erg, corresponding to the energies for nanoflare (1024–1027 erg), picoflare (1021–1024 erg), and
femtoflare (1018–1021 erg). The respective slope results imply that high-frequency oscillations could provide the
dominant contribution to total coronal heating generated by decayless transverse oscillations.
