Fluctuations of rotational and translational degrees of freedom in an interacting active dumbbell system

We study the dynamical properties of a two-dimensional ensemble of self-propelled dumbbells with only repulsive interactions. After summarizing the behavior of the translational and rotational mean-square displacements in the homogeneous phase that we established in a previous study, we analyze their fluctuations. We study the dependence of the probability distribution functions in terms of the P\'eclet number, describing the relative role of active forces and thermal fluctuations, and of particle density.