Beyond the Tayler instability: A new global instability of toroidal magnetic fields in stars

arXiv:2606.24607 · astro-ph.SR, astro-ph.HE, physics.flu-dyn, physics.plasm-ph · Submitted 2026-06-23 · Read on arXiv

Mikhail E. Gusakov, Laura Becerra, Elena M. Kantor, Andreas Reisenegger, Juan Alejandro Valdivia

astro-ph.SR, astro-ph.HE, physics.flu-dyn, physics.plasm-ph

Submitted: 2026-06-23

Comments: 44 pages, 12 figures, 3 tables, accepted in Phys. Rev. D

Journal ref: Phys. Rev. D 114, 023019 (2026)

DOI: 10.1103/2h7n-g6nq

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Core — 6× in this paper · explained in 2 episodes
• Angular Momentum Transport — 5× in this paper · explained in 3 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Consistency — 3× in this paper · explained in 3 episodes
• Abundance — 2× in this paper · explained in 1 episode
• Self-consistency — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Chebyshev Polynomials — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Magnetohydrodynamics (MHD) — 1× in this paper · explained in 3 episodes

Sources

• Magnetic fields of non-degenerate stars
• Stability of Toroidal Magnetic Fields in Rotating Stellar Radiation Zones
• The kink-type instability of toroidal stellar magnetic fields with thermal diffusion
• Amplification and stability of magnetic fields and dynamo effect in young A stars
• Stability of the toroidal magnetic field in stellar radiation zones
• Stability of magnetic fields in non-barotropic stars: an analytic treatment
• Tayler Instability Revisited
• Zones of Tayler Instability in Stars
• The stability of toroidal fields in stars
• On the Stability of Non Force-Free Magnetic Equilibria in Stars
• Non-axisymmetric instabilities of neutron star with toroidal magnetic fields
• Instabilities in neutron stars with toroidal magnetic fields
• Stability of toroidal magnetic fields in stellar interiors
• Global simulations of Tayler instability in stellar interiors: The stabilizing effect of gravity
• Magnetohydrodynamic Simulations of the Tayler Instability in Rotating Stellar Interiors
• Global simulations of Tayler instability in stellar interiors: a long-time multi-stage evolution of the magnetic field
• Gravity's role in taming the Tayler instability in red giant cores
• Differential rotation and magnetic fields in stellar interiors
• Dynamo action by differential rotation in a stably stratified stellar interior
• A new scenario for magnetar formation: Tayler-Spruit dynamo in a proto-neutron star spun up by fallback

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