Tracer Shape and Local Media Structure Determine the Trend of Translation-Rotation Decoupling in Two-Dimensional Colloids.

The translational diffusion of tracers in glass-forming materials often violates the Stokes-Einstein relation while their rotation follows the Debye-Stokes-Einstein relation faithfully, thus decoupling translational and rotational diffusion. In this Letter, we show by performing molecular dynamics simulations for two-dimensional (2D) colloids that the tracer shape and the local media structure are critical such that rotational diffusion is either suppressed or enhanced depending on the tracer shape. For square tracers dissimilar in structure to the local media structure of 2D colloids, the translation-rotation decoupling occurs and the rotational diffusion is enhanced relative to the translation. For sufficiently large diamond tracers similar in structure to the local media structure, tracers undergo rotational hopping motions and their rotation is suppressed relative to the translation. For distorted-diamond tracers, the decoupling is marginal. Translational diffusion does not change significantly with the tracer shape and obeys the Stokes-Einstein relation.