Correlation Between The Rise Rate And The Amplitude Of The Solar Magnetic Cycles

TL;DR

This paper investigates the Waldmeier effect by analyzing multiple solar activity datasets, revealing a strong linear correlation between the rise rate and amplitude of solar magnetic cycles, supported by theoretical modeling.

Contribution

It provides empirical evidence of the correlation across datasets and introduces a stochastic dynamo model to explain this relationship.

Findings

Strong linear correlation between rise rate and amplitude.

Empirical validation across four datasets.

Theoretical support via stochastic dynamo modeling.

Abstract

We discuss one important aspect of Waldmeier effect which says that the stronger cycles rise rapidly than weaker cycles. We studied four different data set of solar activity indices, and find strong linear correlation between rise rates and amplitudes of solar activity. We study this effect theoretically by introducing suitable stochastic fluctuations in our regular solar dynamo model.