Model of intermittency of grand minimums and maximums in the solar dynamo

Statistics – Computation

Scientific paper

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Scientific paper

The αΩ-dynamo model with casual fluctuations of parameter α reproduces all main indications of solar grand minimums and maximums. If we take the dependence of turbulent diffusivity on the magnetic field into account, we obtain the phenomenon of hysteresis, when two solutions are possible in a certain interval of dynamo number values: decaying oscillations of weak fields and magnetic cycles with a constant and a large amplitude, which are formed depending on initial conditions. Fluctuations in parameter α result in transitions between these regimes, and the computations indicate that magnetic cycles with a relative large amplitude alternate with epochs of weak magnetic fields. Such behavior can be used as a model of grand minimums and maximums of solar activity.

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