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There have been increasing reports that the diffusion coefficient ofmacromolecules depends on time and fluctuates randomly. Here, a novel method toelucidate the fluctuating diffusivity from trajectory data is developed. Thetime-averaged mean square displacement (MSD), a common tool insingle-particle-tracking (SPT) experiments, is generalized into a second ordertensor, with which information on both magnitude fluctuations and orientationalfluctuations of the diffusivity can be clearly detected. This new method isutilized to analyze the center-of-mass motion of four polymer models, the Rousemodel, the Zimm model, a reptation model, and a rigid rodlike polymer, and itis found that these models exhibit distinctly different types of magnitude andorientational fluctuations of the diffusivity. This method of the time-averagedMSD tensor can be applied also to the trajectory data obtained in SPTexperiments.

Elucidating fluctuating diffusivity in center-of-mass motion of polymer models with time-averaged mean-square-displacement tensor