Double-peaks of the solar cycle: An explanation from a dynamo model

TL;DR

This paper explains the occurrence of double peaks in the solar cycle as a result of fluctuations in the Babcock-Leighton process, supported by dynamo modeling and observational data analysis.

Contribution

It introduces a dynamo model incorporating stochastic fluctuations to reproduce double-peaked solar cycles, linking polar field variations to cycle features.

Findings

Double peaks are generated by fluctuations in the Babcock-Leighton process.

The model successfully reproduces observed double-peaked cycles.

Polar field fluctuations are closely connected to cycle double peaks.

Abstract

One peculiar feature of the solar cycle which is yet to be understood properly is the frequent occurrence of double peaks (also known as the Gnevyshev peaks). Not only the double peaks but also multiple peaks and spikes are often observed in any phase of the cycle. We propose that these peaks and spikes are generated due to fluctuations in the Babcock-Leighton process (the poloidal field generation from tilted bipolar magnetic regions). When the polar field develops, large negative fluctuations in the Babcock-Leighton process can reduce the net polar field abruptly. As these fluctuations in the polar field are propagated to the new toroidal field, these can promote double peaks in the next solar cycle. When fluctuations in the polar field occur outside the solar maximum, we observe their effects as spikes or dips in the following sunspot cycle. Using an axisymmetric Babcock-Leighton dynamo model we first demonstrate this idea. Later, we perform a long simulation by including random scatter in the poloidal field generation process and successfully reproduce the double-peaked solar cycles. These results are robust under reasonable changes in the model parameters as long as the diffusivity is not too larger than $10^{12}$ cm$^2$s$^{-1}$. Finally, we analyze the observed polar field data to show a close connection between the short-term fluctuations in the polar field and the double peaks/spikes in the next cycle. Thereby, this supports our theoretical idea that the fluctuations in the Babcock-Leighton process can be responsible for the double peaks/spikes in the observed solar cycle.