Waldmeier relations and the solar cycle dynamics by the mean-field dynamos

TL;DR

This paper investigates the statistical relationships in solar cycle variability using a mean-field dynamo model with fluctuating alpha-effect, comparing model dynamics with observed sunspot data to understand solar activity patterns.

Contribution

It introduces a mean-field dynamo model incorporating alpha-effect fluctuations and analyzes its statistical properties and dynamics in relation to observed sunspot cycle data.

Findings

Model reproduces key statistical relations of solar cycles.

Dynamical properties align with observed sunspot variability.

Provides insights into solar cycle predictability.

Abstract

The long-term variability of the sunspot cycle, as recorded by the Wolf numbers, are imprinted in different kinds of statistical relations which relate the cycle amplitudes, duration and shapes. This subject always gets a special attention because it is important for the solar activity forecast. We discuss statistical properties of the mean-field dynamo model with the fluctuating \alpha-effect. Also, we estimate dynamical properties of the model for the long and short time-scale and compare it with the dynamics of the sunspot numbers data sets.