“…The CM explanation was offered as an alternative explanation, but it was eclipsed by the popular and intuitively more appealing explanation that the difference in temperature dependence between diffusion and structural relaxation originates from the difference in how the respective observables averaged over the distribution of time scales of spatially heterogeneous dynamics [29][30][31]. However the premise of this popular explanation has been found to be contradicted by the temperature independence of the time or frequency dispersion of the structural relaxation of tri-naphthal benzene (TNB) [20,32,33], ortho-terphenyl (OTP) [21,22], sucrose benzoate [23], and indomethacin [24,36]. Thus the way to explain breakdown of SE relation from spatially heterogeneous dynamics is inconsistent with experiments, as concluded in a recent review ]40], although there is no doubt that the structural relaxation is dynamically heterogeneous.…”