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Barotropic rotation and radiative equilibrium are mutually incompatible in stars. The issue is often addressed by allowing for a meridional circulation, but this is not devoid of theoretical complications. Models of rotation in the Sun…

Solar and Stellar Astrophysics · Physics 2016-02-17 Andrea Caleo , Steven A. Balbus

In this paper, we present a model for the effects of the tachocline on the differential rotation in the solar convection zone. The mathematical technique relies on the assumption that entropy is nearly constant ("well-mixed") in isorotation…

Solar and Stellar Astrophysics · Physics 2015-05-19 Steven A. Balbus , Henrik N. Latter

Rapidly rotating fluids have a rotation profile which depends only on the distance from the rotation axis, in accordance with the Taylor-Proudman theorem. Although the Sun was expected to be such a body, helioseismology showed that the…

Solar and Stellar Astrophysics · Physics 2024-03-29 Yuto Bekki , Robert H. Cameron , Laurent Gizon

We present axisymmetric simulations of the coupled convective and radiative regions in the Sun in order to investigate the angular momentum evolution of the radiative interior. Both hydrodynamic and magnetohydrodynamic models were run. We…

Solar and Stellar Astrophysics · Physics 2015-05-28 T. M. Rogers

Recently helioseismic observations have revealed the presence of a shear layer at the base of the convective zone related to the transition from differential rotation in the convection zone to almost uniform rotation in the radiative…

Astrophysics · Physics 2015-06-24 A. S. Brun , J. P. Zahn

The question is addressed whether stellar differentially rotating radiative zones (like the solar tachocline) excite nonaxisymmetric r-modes which can be observed. To this end the hydrodynamical stability of latitudinal differential…

Solar and Stellar Astrophysics · Physics 2015-05-13 L. L. Kitchatinov , G. Rüdiger

A new set of accurately measured frequencies of solar oscillations are used to infer the rotation rate inside the Sun, as a function of radial distance as well as latitude. We have adopted a regularized least squares technique with…

Astrophysics · Physics 2009-10-30 H. M. Antia , Sarbani Basu , S. M. Chitre

Stability of toroidal magnetic field in a stellar radiation zone is considered for the cases of uniform and differential rotation. In the rigidly rotating radiative core shortly below the tachocline, the critical magnetic field for…

Astrophysics · Physics 2009-11-13 L. L. Kitchatinov , G. Rüdiger

The three-dimensional, hydrodynamic stability of the solar tachocline is investigated based on a rotation profile as a function of both latitude and radius. By varying the amplitude of the latitudinal differential rotation, we find linear…

Astrophysics · Physics 2009-11-11 R. Arlt , A. Sule , G. Ruediger

We present a simple model for the solar differential rotation and meridional circulation based on a mean field parameterization of the Reynolds stresses that drive the differential rotation. We include the subadiabatic part of the…

Astrophysics · Physics 2009-11-11 Matthias Rempel

At the base of the Sun's convective zone, a narrow shear layer called the tachocline separates strong latitudinal differential rotation above from nearly rigid rotation in the radiative zone below. The observed thinness of the tachocline is…

Solar and Stellar Astrophysics · Physics 2026-04-20 Loren I. Matilsky , Lydia Korre , Nicholas H. Brummell

The simplest interior magnetic field B_i that can explain the observed uniform rotation of the Sun's radiative envelope is an axial dipole stabilized by a deep toroidal field. It can explain the uniform rotation only if confined in the…

Solar and Stellar Astrophysics · Physics 2011-02-21 Toby S. Wood , Michael E. McIntyre

The rotation rate of the solar radiative zone is an important diagnostic for angular-momentum transport in the tachocline and below. In this paper we study the contribution of viscous and magnetic stresses to the global angular-momentum…

Astrophysics · Physics 2011-02-11 P. Garaud , C. Guervilly

The solar tachocline, located at the interface between the latitude-dependent rotation of the convection zone and the rigid radiative interior, presents high gradients of angular velocity which are of particular interest for the models of…

Astrophysics · Physics 2013-08-01 T. Corbard , S. J. Jiménez-Reyes , S. Tomczyk , M. Dikpati , P. Gilman

Helioseismology has revealed the internal density and rotation profiles of the Sun. Yet, knowledge of its magnetic fields and meridional circulation is confined much closer to the surface, and latitudinal entropy gradients are below…

Solar and Stellar Astrophysics · Physics 2019-01-29 Lee Gunderson , Amitava Bhattacharjee

Helioseismology has provided very detailed inferences about rotation of the solar interior. Within the convection zone the rotation rate roughly shares the latitudinal variation seen in the surface differential rotation. The transition to…

Astrophysics · Physics 2009-11-11 J. Christensen-Dalsgaard

Helioseismic inversions of the Sun's internal angular velocity profile show that the rotation changes from differential in latitude in the convection zone to almost uniform in the radiative region below. The transition occurs in a thin…

Astrophysics · Physics 2007-05-23 E. Schatzman , J. -P. Zahn , P. Morel

The helioseismically observed solar tachocline is a thin internal boundary layer of shear that separates the rigidly-rotating solar radiative zone from the differentially-rotating convective zone and is believed to play a central role in…

Solar and Stellar Astrophysics · Physics 2025-07-14 Loren I. Matilsky , Lydia Korre , Nicholas H. Brummell

To understand the fundamental physical processes important for the evolution of solar rotation and distribution of chemical species, we provide theoretical predictions for particle mixing and momentum transport in the stably stratified…

Astrophysics · Physics 2009-11-11 Eun-Jin Kim , Nicolas Leprovost

The surprising thinness of the solar tachocline is still not understood with certainty today. Among the numerous possible scenarios suggested to explain its radial confinement, one hypothesis is based on Maxwell stresses that are exerted by…

Solar and Stellar Astrophysics · Physics 2017-04-26 R. Barnabé , A. Strugarek , P. Charbonneau , A. S. Brun , J. -P. Zahn
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