Physics of Plasmas, Volume 28, Issue 4, April 2021. We investigate the origin of the violation of the Stokes–Einstein (SE) relation in two-dimensional Yukawa liquids. Using comprehensive molecular dynamics simulations, we identify the time scales supporting the violation of the SE relation [math], where D is the self-diffusion coefficient and η is the shear viscosity. We first compute the self-intermediate scattering function [math], the non-Gaussian parameter α2, and the autocorrelation function of the shear stress [math]. The time scales obtained from these functions include the structural relaxation time [math], the peak time of the non-Gaussian parameter [math], and the shear stress relaxation time [math]. We find that [math] is coupled with D for all temperatures indicating the SE preservation; however, [math] and [math] are decoupled with D at low temperatures indicating the SE violation. Surprisingly, we find that the origins of this violation are related to the non-exponential behavior of the autocorrelation function of the shear stress and non-Gaussian behavior of the distribution function of particle displacements. These results confirm dynamic heterogeneity that occurs in two-dimensional Yukawa liquids that reflect the presence of regions in which dust particles move faster than the rest when the liquid cools to below the phase transition temperature.

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