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Solar inertial modes: Observations, identification, and diagnostic promise

Laurent Gizon, Robert H. Cameron, Yuto Bekki, Aaron C. Birch, Richard S. Bogart, Allan Sacha Brun, Cilia Damiani, Damien Fournier, Laura Hyest, Kiran Jain, B. Lekshmi, Zhi-Chao Liang, Bastian Proxauf

2021Astronomy and Astrophysics71 citationsDOIOpen Access PDF

Abstract

The oscillations of a slowly rotating star have long been classified into spheroidal and toroidal modes. The spheroidal modes include the well-known 5-min acoustic modes used in helioseismology. Here we report observations of the Sun’s toroidal modes, for which the restoring force is the Coriolis force and whose periods are on the order of the solar rotation period. By comparing the observations with the normal modes of a differentially rotating spherical shell, we are able to identify many of the observed modes. These are the high-latitude inertial modes, the critical-latitude inertial modes, and the equatorial Rossby modes. In the model, the high-latitude and critical-latitude modes have maximum kinetic energy density at the base of the convection zone, and the high-latitude modes are baroclinically unstable due to the latitudinal entropy gradient. As a first application of inertial-mode helioseismology, we constrain the superadiabaticity and the turbulent viscosity in the deep convection zone.

Topics & Concepts

PhysicsKinetic energyConvectionInertial waveSolar rotationRossby numberMechanicsInertial frame of referenceTurbulenceRotation (mathematics)Classical mechanicsAstrophysicsToroidRossby waveNormal modeConvection zoneEntropy (arrow of time)Solar physicsTachoclineVortexVorticityInstabilityAmplitudeWavenumberEkman numberComputational physicsHelioseismologyEntropy productionRossby radius of deformationSolar windSolar and Space Plasma DynamicsStellar, planetary, and galactic studiesAstronomy and Astrophysical Research
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