The Solar Bell: What Small and Large Flares Have in Common ✛

Original: "A universal scaling between damping time and period of quasi-periodic pulsations from solar EUV brightenings to X-ray stellar flares"
arXiv:2607.17359v1 · 2026-07-19 · CC BY 4.0 · 2 min
In both tiny solar flares and huge stellar explosions, the damping of oscillations follows the same rule — an analysis of thousands of events has shown.

When a bell rings, the sound doesn't stop abruptly — it fades gradually. Solar flares behave similarly. At the moment of a flare, magnetic fields suddenly reconfigure, and oscillations arise in the hot gas of the Sun's atmosphere — as if a giant tuning fork had been struck. These damped pulsations (rhythmic flickering) tell us that something inside the star is "ringing".

The tiniest events studied — EUV brightenings (bursts of hard ultraviolet) — last from a few seconds to a minute, and their size is only about 100 km (like a large earthly metropolis). But even in them, the same damped oscillations are visible as in giant explosions.

To find a common rhythm in this "ringing", scientists analyzed more than two thousand microflares and three hundred ordinary ones. Using precise brightness measurements and special signal processing, they extracted pure periodic oscillations from the flickering. Then the data went through frequency analysis and statistical model comparison. It turned out that the damping time τ and the pulsation period P are related by a power law: τ ∝ P^α, where α ≈ 0.9. In other words, the longer one "swing" lasts, the longer all oscillations take to decay — and this line on the graph is the same for barely visible microflares and monstrous stellar explosions.

The quality factor (how many cycles fit into the damping time) averages 1.6 for micro-events and 1.1 for large ones. The numbers barely differ, meaning nature draws no boundary between "small" and "large" flares — it's one phenomenon.

Such a universal law implies that the same mechanism drives damping everywhere — most likely magnetic waves in the gas (the very ones that make loops vibrate). But the key point is that pulsations now become a measuring tool. By measuring the period, you can calculate the length of an invisible plasma loop; knowing the damping time, you can estimate its temperature. For red dwarf stars, too far away to see loops in telescopes, this is invaluable. Moreover, by comparing the "ringing" of flares at different wavelengths — for example, in ultraviolet and X-ray — scientists will learn to distinguish types of oscillations and determine even more precisely what is hidden in the tumultuous atmosphere of a star. Thus, observations of how flares fade open a path to understanding the life cycle of stars — and the "bell ringing" of distant suns will reveal their invisible properties.

EUV brightenings last from a few seconds to minutes and are only about 100 km across, yet they exhibit the same pulsations as giant flares spanning tens of thousands of kilometers.

\tau \propto P^{\alpha}
Universal damping law for quasi-periodic pulsations
Scientists
Ludwig BoltzmannCecilia Payne-GaposchkinMichael FaradayHendrik LorentzAlbert EinsteinBarry Barish
Concepts
quasi biennial oscillation stellar pulsation quasi periodic eruptions solar eruption pulsar phenomena x ray pulse solar cycle stellar flares sunspot red giant pulsations flickering decay time pulsar cepheid oscillation period electrical pulse active region aurora pulsation solar flare