Fig. 3: Influence of hydrodynamics on Stokes-Einstein relation in near-field.

SE exponents \({\xi}^{L}\) and \({\xi}^{T}\) versus \({r}\). The inset plots the particle self-diffusivity (derived from measurements in the lab frame), \({D}^{self}\), versus relaxation, \({\tau }_{\alpha }^{self}\); the solid line shows \({D}^{self}\propto {\tau }_{\alpha }^{-1.16\pm 0.03}\). Black dashed and dotted lines at \({\xi}=-1.00\) and \({\xi}=-1.18\) depict the ideally expected and measured asymptotic values of \({\xi}\), respectively. Top panel shows representative \({D}^{L}\) and \({D}^{T}\) versus \({\tau }_{\alpha }^{L}\) and \({\tau }_{\alpha }^{T}\), respectively, for different \({r}\) as shown in the figures. The solid lines depict linear fits to determine \({\xi}\). Standard error from power-law fittings between \({D}^{L,\,T}\) and \({\tau }_{\alpha }^{L,\,T}\) are used in \({\xi}^{L,\,T}\) versus r plots; systematic errors, obtained by extraction of \({D}^{L,\,T}\) from different time-windows, are found to be larger than standard error and are used when quoting the value of \({\xi}^{L,\,T}\) in the main text and figure captions.