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In this work, we have studied the variability and frequency of occurrence ofthe grand minima using kinematic dynamo models of one solar mass star withdifferent rotation rates and depths of convection zones. We specify thelarge-scale flows (differential rotations and meridional circulations) fromcorresponding hydrodynamic models. We include stochastic fluctuations in theBabcock-Leighton source for the poloidal field to produce variable stellarcycles. We observe that the rapidly rotating stars produce highly irregularcycles with strong magnetic fields and rarely produce Maunder-like grandminima, whereas the slowly rotating stars (Sun and longer rotation period)produce smooth cycles of weaker strength and occasional grand minima. Ingeneral, the number of the grand minima increases with the decrease in rotationrate. These results can be explained by the fact that with the increase ofrotation period, the supercriticality of the dynamo decreases, and the dynamois more prone to produce extended grand minima in this regime.

Modelling the occurrence of grand minima in sun-like stars using a dynamo model