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Related papers: The Tayler Instability in the Anelastic Approximat…

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The Tayler instability (TI) of toroidal magnetic fields is a candidate mechanism for driving turbulence, angular momentum (AM) transport, and dynamo action in stellar radiative zones. Recently \cite{Skoutnev_2024} revisited the linear…

Solar and Stellar Astrophysics · Physics 2025-06-24 Valentin A. Skoutnev , Andrei M. Beloborodov

Tayler instability of toroidal magnetic fields $B_\phi$ is broadly invoked as a trigger for turbulence and angular momentum transport in stars. This paper presents a systematic revision of the linear stability analysis for a rotating,…

Solar and Stellar Astrophysics · Physics 2024-10-29 Valentin A. Skoutnev , Andrei M. Beloborodov

The nonaxisymmetric 'kink-type' Tayler instability (TI) of toroidal magnetic fields is studied for conducting incompressible fluids of uniform density between two infinitely long cylinders rotating around the same axis. It is shown that for…

Solar and Stellar Astrophysics · Physics 2015-05-13 G. Ruediger , M. Schultz

The Tayler instability is an important but poorly studied magnetohydrodynamic instability that likely operates in stellar interiors. The nonlinear saturation of the Tayler instability is poorly understood and has crucial consequences for…

Solar and Stellar Astrophysics · Physics 2023-04-03 Suoqing Ji , Jim Fuller , Daniel Lecoanet

Context: Asteroseismic measurements of the internal rotation of evolved stars indicate that at least one unknown efficient angular momentum (AM) transport mechanism is needed in stellar radiative zones. Aims: We investigate the impact of AM…

Solar and Stellar Astrophysics · Physics 2023-10-02 P. Eggenberger , F. D. Moyano , J. W. den Hartogh

The Tayler instability of an azimuthal magnetic field with one or two ``rings'' along the radius is studied for an axially unbounded Taylor-Couette flow. The rotation law of the conducting fluid is a quasi-Keplerian one. Without rotation…

Solar and Stellar Astrophysics · Physics 2025-03-18 Günther Rüdiger , Manfred Schultz

The current-driven, kink-type Tayler instability (TI) is a key ingredient of the Tayler-Spruit dynamo model for the generation of stellar magnetic fields, but is also discussed as a mechanism that might hamper the up-scaling of liquid metal…

Solar and Stellar Astrophysics · Physics 2017-07-24 F. Stefani , V. Galindo , A. Giesecke , N. Weber , T. Weier

In the current-driven, kink-type Tayler instability (TI) a sufficiently strong azimuthal magnetic field becomes unstable against non-axisymmetric perturbations. The TI has been discussed as a possible ingredient of the solar dynamo…

Solar and Stellar Astrophysics · Physics 2015-06-03 Martin Seilmayer , Frank Stefani , Thomas Gundrum , Tom Weier , Gunter Gerbeth , Marcus Gellert , Guenther Ruediger

We examine the MHD instabilities arising in the radiation zone of a differentially rotating star, in which a poloidal field of fossil origin is sheared into a toroidal field. We focus on the non-axisymmetric instability that affects the…

Astrophysics · Physics 2009-11-13 J. -P. Zahn , A. S. Brun , S. Mathis

Angular momentum transport by internal magnetic fields is an important ingredient for stellar interior models. In this paper we critically examine the basic heuristic assumptions in the model of the Tayler-Spruit dynamo, which describes how…

Astrophysics · Physics 2008-11-26 Pavel A. Denissenkov , Marc Pinsonneault

The recent asteroseismic observations constitute a great challenge for rotating stellar evolution models, which predict too fast internal rotation rates when only hydrodynamic processes are included. This suggests the absence of one or…

Solar and Stellar Astrophysics · Physics 2026-01-06 Paul Barrère , Alexis Reboul-Salze , Patrick Eggenberger , Sébastien Deheuvels , Carolina Rodriguez , Maxime Marchand

The stability of toroidal magnetic fields in radiative stellar interiors is a key open problem in astrophysics. We investigate the Tayler instability of purely toroidal fields $B_\phi$ in a nonrotating, thermally stably stratified stellar…

Solar and Stellar Astrophysics · Physics 2025-10-08 Domenico G. Meduri , Rainer Arlt , Alfio Bonanno , Giovanni Licciardello

The Tayler instability is a kink-type, current driven instability that plays an important role in plasma physics but might also be relevant in liquid metal applications with high electrical currents. In the framework of the Tayler-Spruit…

Fluid Dynamics · Physics 2015-04-24 Norbert Weber , Vladimir Galindo , Frank Stefani , Tom Weier

We present 3D MHD simulations of purely toroidal and mixed poloidal-toroidal magnetic field configurations to study the behavior of the Tayler instability. For the first time the simultaneous action of rotation and magnetic diffusion are…

Solar and Stellar Astrophysics · Physics 2015-05-27 Juan C. Ibañez-Mejia , Jonathan Braithwaite

Magnetic fields have been observed in massive Ap/Bp stars and presumably are also present in the radiative zone of solar-like stars. Yet, to date there is no clear understanding of the dynamics of the magnetic field in stably stratified…

Solar and Stellar Astrophysics · Physics 2023-03-27 G. Monteiro , G. Guerrero , F. Del Sordo , A. Bonanno , P. K. Smolarkiewicz

Unveiling the evolution of toroidal field instability, known as Tayler instability, is essential to understand the strength and topology of the magnetic fields observed in early-type stars, in the core of the red giants, or in any stellar…

Solar and Stellar Astrophysics · Physics 2019-10-23 G. Guerrero , F. Del Sordo , A. Bonanno , P. K. Smolarkiewicz

We consider the effect of toroidal magnetic fields on hydrodynamically stable Taylor-Couette differential rotation flows. For current-free magnetic fields a nonaxisymmetric m=1 magnetorotational instability arises when the magnetic Reynolds…

Astrophysics · Physics 2008-11-26 G. Ruediger , R. Hollerbach , M. Schultz , D. Elstner

The stability of dissipative Taylor-Couette flows with an axial stable density stratification and a prescribed azimuthal magnetic field is considered. Global nonaxisymmetric solutions of the linearized MHD equations with toroidal magnetic…

Astrophysics · Physics 2009-11-13 G. Ruediger , D. A. Shalybkov

Context: Asteroseismic measurements reveal that an unknown efficient angular momentum (AM) transport mechanism is needed for subgiant and red giant stars. A revised prescription for AM transport by the magnetic Tayler instability has been…

Solar and Stellar Astrophysics · Physics 2020-02-05 P. Eggenberger , J. W. den Hartogh , G. Buldgen , G. Meynet , S. J. A. J. Salmon , S. Deheuvels

We further develop the Tayler--Spruit dynamo theory, based on the most efficient instability for generating magnetic fields in radiative layers of differentially rotating stars. We avoid the simplifying assumptions that either the $\mu$--…

Astrophysics · Physics 2009-11-10 Andre Maeder , Georges Meynet
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