A synchronized two-dimensional $\alpha -\Omega$ model of the solar dynamo

Abstract

We consider a conventional $\alpha -\Omega$-dynamo model with meridional circulation that exhibits typical features of the solar dynamo, including a Hale cycle period of around 20 years and a reasonable shape of the butterfly diagram. With regard to recent ideas of a tidal synchronization of the solar cycle, we complement this model by an additional time-periodic $\alpha$-term that is localized in the tachocline region. It is shown that amplitudes of some dm/s are sufficient for this $\alpha$-term to become capable of entraining the underlying dynamo. We argue that such amplitudes of $\alpha$ may indeed be realistic, since velocities in the range of m/s are reachable, e.g., for tidally excited magneto-Rossby waves.

14 pages, 6 figures

References in corpus (11)

• Solar cyclic activity over the last millennium reconstructed from annual 14C data
• Does the Sun work as a nuclear fusion amplifier of planetary tidal forcing? A proposal for a physical mechanism based on the mass-luminosity relation
• How does the shape and thickness of the tachocline affect the distribution of the toroidal magnetic fields in the solar dynamo?
• Solar and stellar activity cycles -- no synchronization with exoplanets
• Tidally Forced Planetary Waves in the Tachocline of Solar-like Stars
• No evidence for synchronization of the solar cycle by a "clock"
• Global simulations of Tayler instability in stellar interiors: a long-time multi-stage evolution of the magnetic field
• Tidal excitation of autoresonant oscillations in stars with close-by planets
• No evidence for absence of solar dynamo synchronization
• Synchronizing the helicity of Rayleigh-Bénard convection by a tide-like electromagnetic forcing
• Advances and Challenges in Observations and Modeling of the Global-Sun Dynamics and Dynamo

Cited by in corpus (2)

• No evidence for absence of solar dynamo synchronization
• Planetary Influences on the Solar Cycle: A Nonlinear Dynamics Approach