The parametric resonance in the $\alpha\omega$-dynamo models

TL;DR

This paper demonstrates that retardation effects in the alpha-quenching of Parker's dynamo model induce parametric resonance and long-term processes, supported by numerical simulations and analytic modeling.

Contribution

It introduces the concept that retardation in alpha-quenching causes parametric resonance in dynamo models, a novel insight into magnetic field dynamics.

Findings

Retardation leads to parametric resonance in the dynamo model.

Numerical simulations confirm the resonance effect.

Long-term processes with extended periods emerge due to retardation.

Abstract

It is shown, that retardation in the $\alpha$-quenching in the Parker's dynamo model leads to parametric resonance. This result is observed in the numerical simulations and can be reproduced in the simple analytic model. The other interesting effect in the model with retardation is a appearance of the long-term processes with the period much larger than the typical time of retardation.