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We consider the diffusion constant, D, of a probe particle coupled to theEast model, extending previous numerical results for this model to encompass atotal of twelve orders of magnitude in relaxation time, {\tau}. Ourconsiderations thus cover the full range of relaxation times relevant toexperimental studies of reversible glass formers. Throughout this range, weshow that the results of the model are consistent with a fractionalStokes-Einstein law, D \propto {\tau}^{-{\xi}} with {\xi} \approx 0.77. Thesame data can also be fit by relating D{\tau} to the East model excitationconcentration q, specifically, D{\tau} \sim 1/q^{\alpha} with {\alpha} \approx1.6. In either case, breakdown of the Stokes-Einstein relation in thiskinetically constrained model is unquestionable and large.

Comment on "Is there a breakdown of the Stokes-Einstein relation in  Kinetically Constrained Models at low temperature?" by O. Blondel and C.  Toninelli, arXiv:1307.1651