Towards a model for the solar dynamo

@article{Moss2000TowardsAM,
  title={Towards a model for the solar dynamo},
  author={David Moss and John M. Brooke},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2000},
  volume={315},
  pages={521-533}
}
  • D. Moss, J. Brooke
  • Published 1 July 2000
  • Physics
  • Monthly Notices of the Royal Astronomical Society
We study a mean field model of the solar dynamo, in which the non-linearity is the action of the azimuthal component of the Lorentz force of the dynamo-generated magnetic field on the angular velocity. The underlying zero-order angular velocity is consistent with recent determinations of the solar rotation law, and the form of the alpha effect is chosen so as to give a plausible butterfly diagram. For small Prandtl numbers we find regular, intermittent and apparently chaotic behaviour… 
View via Publisher
academic.oup.com
78 Citations
Highly Influential Citations
2
Background Citations
31
Methods Citations
21
Results Citations
1

78 Citations

Citation Type

Citation Type

Deep minima in stellar dynamos
We study a Cartesian analogy for a solar dynamo model to investigate systematically a dynamo model limited by the back reaction of the Lorentz force on the dierential rotation. In particular, we…
Modeling a Maunder minimum
We introduce on/off intermittency into a mean field dynamo model by imposing stochastic fluctuations in either the alpha effect or through the inclusion of a fluctuating electromotive force.…
An Exploration of Non-kinematic Effects in Flux Transport Dynamos
Recent global magnetohydrodynamical simulations of solar convection producing a large-scale magnetic field undergoing regular, solar-like polarity reversals also present related cyclic modulations of…
Dynamical variations of the differential rotation in the solar convection zone
Recent analyses of helioseismological observations seem to suggest the presence of two new phenomena connected with the dynamics of the solar convective zone. Firstly, there are present torsional…
Theoretical Models of Solar Magnetic Variability
Solar variability on all observationally accessible temporal and spatial scales is intimately connected with the variations of the solar magnetic field and its interaction with the non-stationary…
A novel type of intermittency in a non-linear dynamo in a compressible flow
The transition to an intermittent mean-field dynamo is studied using numerical simulations of magnetohydrodynamic turbulence driven by a helical forcing. The low-Prandtl number regime is investigated…
Intermittency and Phase Persistence in a Babcock-Leighton Model of the Solar Cycle
We present and discuss a numerical simulation of the solar cycle based on the Babcock-Leighton mechanism of poloidal field regeneration by the surface decay of sunspots. The simulation includes…
Stellar Dynamo Waves: Asymptotic Configurations
We investigate the parameter space of a Parker dynamo with a simple alpha quenching nonlinearity, taking as governing parameters the dynamo number D (D<0) and the ratio of diffusion times in the…
Can short time delays influence the variability of the solar cycle?
Abstract We present the effects of introducing results of 3D MHD simulations of buoyant magnetic fields in the solar convection zone in 2D mean-field Babcock-Leighton models. In particular, we take…
Dynamo models and differential rotation in late-type rapidly rotating stars
Received ; accepted Abstract. Increasing evidence is becoming available about not only the surface di erential rotation of rapidly rotating cool stars but, in a small number of cases, also about…
...
...

References

SHOWING 1-10 OF 28 REFERENCES
Nonlinear Restrictions on Dynamo Action
Astrophysical dynamos operate in the limit of small magnetic diffusivity. In order for magnetic reconnection to occur, very small magnetic structures must form so that diffusion becomes effective.…
A new model of the solar cycle
A new model of the solar magnetic activity cycle is proposed. The model is based on the symmetries of a rotating star, and describes the interaction between dipole and quadrupole fields in the weakly…
Relating stellar cycle periods to dynamo calculations
ABSTRA C T Stellar magnetic activity in slowly rotating stars is often cyclic, with the period of the magnetic cycle depending critically on the rotation rate and the convective turnover time of the…
On the Generation of Equipartition-Strength Magnetic Fields by Turbulent Hydromagnetic Dynamos
The generation of a mean magnetic field by the action of small-scale turbulent fluid motions, the α-effect, is a fundamental ingredient of mean-field dynamo theory. However, recent mathematical…
Simple solar dynamo models with variable α and ω effects
We examine a pair of radially averaged, pseudo-Cartesian dynamo models, one with a dynamically variable a effect, and the other with a dynamically variable w effect. Our models are kept deliberately…
Intermittent behaviour in axisymmetric mean-field dynamo models in spherical shells
ABSTRA C T Axisymmetric mean-field dynamo models in spherical shells are shown to be capable of producing temporally intermittent behaviour. This is of potential importance since (i) it is, as far as…
Solar Interface Dynamos. II. Linear, Kinematic Models in Spherical Geometry
Numerical models of interface dynamos are constructed, and their properties discussed in some detail. These models are extensions in spherical geometry of the Cartesian interface models considered by…
THE INTERMITTENT SOLAR CYCLE
Abstract A prominent feature of the solar cycle is the rise and fall of the number of sunspots on the surface with a timescale of approximately eleven years. The mathematical description of this…
Lectures on solar and planetary dynamos
Introduction 1. Fundamentals of dynamo theory P. H. Roberts 2. Solar and stellar dynamics N. O. Weiss 3. Convection and magnetoconvection in a rapidly rotating sphere M. R. E. Proctor 4. Solar…
Breaking of equatorial symmetry in a rotating system: A spiralling intermittency mechanism
Rotating fluid systems can display large-scale asymmetries about the equator. A model-independent mechanism for such symmetry breaking is described, via a spiralling intermittency that combines the…
...
...