Grand Minima Under the Light of a Low Order Dynamo Model

Details Grand Minima Under the Light of a Low Order Dynamo Model Grand Minima Under the Light of a Low Order Dynamo Model

2009-08-04

arxiv.org/abs/0908.0496v3

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

12 pages, 5 figures, Space Climate Symposium 3, Finland (in press JASTP). Version 3.0 incorporates new figures and references

Scientific paper

10.1016/j.jastp.2009.12.019

In this work we use a low order dynamo model and study under which conditions can it reproduce solar grand minima. We begin by building the phase space of a proxy for the toroidal component of the solar magnetic field and we develop a model, derived from mean field dynamo theory, that gives the time evolution of the toroidal field. This model is characterized by a non-linear oscillator whose coefficients retain most of the physics behind dynamo theory. In the derivation of the model we also include stochastic oscillations in the $\alpha$ effect. We found no evidences that stochastic fluctuations in a linear $\alpha$ effect can trigger grand minima episodes in this model. In contrast, the model used points out that possible mechanism that can trigger grand minima should involve the meridional circulation, magnetic diffusivity or field intensification by buoyancy driven instabilities.

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