Abstract

11-year Schwabe cycle in solar activity is not yet fully understood despite of its almost two century discovery. It is generally interpreted as owing to some sort of magnetic dynamo operating below or inside the convection zone. The magnetic field strength in the dynamo layer may determine the importance of the tachocline in the model which is responsible for the cyclic magnetic field, but the direct measurement is not possible. On the other hand, solar activity also displays short term variations over time scale of months (Rieger-type periodicity), which significantly depend on solar activity level: stronger cycles (or more active hemisphere in each cycle) generally show shorter periodicity and vice versa. The periodicity is probably connected to Rossby-type waves in the dynamo layer, therefore alongside with wave dispersion relations it might be used to estimate the dynamo magnetic field strength. We performed the wavelet analysis of hemispheric sunspot areas during solar cycles 13-24 and corresponding hemispheric values of Rieger-type periodicity are found in each cycle. Two different Rossby-type waves could lead to observed periodicities: spherical fast magneto-Rossby waves and equatorial Poincare-Rossby waves. The dispersion relation of spherical fast magneto-Rossby waves gives the estimated field strength of > 40 kG in stronger cycles (or in more active hemisphere) and 20 kG and < 15 kG, respectively. Future perspectives of Rieger-type periodicities and Rossby-type waves in testing various dynamo models are discussed.

Highlights

  • Solar activity has tremendous influence on interplanetary space and the planets of the solar system including the Earth

  • The periodic increase/decrease of large-scale magnetic field is probably connected to some sort of magnetic dynamo which operates below or inside the convection zone owing to the existence of differential rotation and convection (Charbonneau, 2005)

  • Dikpati et al (2017) showed that the nonlinear energy exchange between tachocline differential rotation and Rossby waves may occur over the time scales of Rieger-type periodicity, which might lead to the observed oscillations

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Summary

INTRODUCTION

Dikpati et al (2017) showed that the nonlinear energy exchange between tachocline differential rotation and Rossby waves may occur over the time scales of Rieger-type periodicity, which might lead to the observed oscillations. Gurgenashvili et al (2016) used the observed Rieger-type periodicities in sunspot numbers and dispersion relation of spherical 2D magnetic Rossby waves to estimate the magnetic field strength in the dynamo layer during solar cycles 14–24. Their estimations suggested a field strength of 40 kG in the stronger cycles 16–23 and 20 kG for the weaker cycles 14-15 and 24. We discuss the current achievements and future perspectives of Rossby-type waves in the estimation of dynamo magnetic field

RIEGER-TYPE PERIODICITY IN SOLAR ACTIVITY
ROSSBY WAVES
Spherical Rossby waves
Equatorial Waves
Kelvin Waves
SEISMOLOGY OF SOLAR DYNAMO LAYER
DISCUSSION AND CONCLUSIONS
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