Wavevector dependence of the collective relaxation time for CKN taken from Ref. 1 . Note the unexpected peak at q ∼ 0.8 A−1. Dashed curve is the static structure factor, S(q), at 358 K. 32 Thick solid curves (red) are the 3-parameter model fits of τ(q); thin solid curves (blue) are the analogous 1-parameter fits.
Temperature dependences of the ratio τ(q1)/τ(qmax) (triangles, left axis) and decoupling parameter η/Tτtransl (circles, right axis, data from Ref. 19 ). Inset: parameter R deduced from the decoupling of relaxation and diffusion.
Master plot of the ratio τ(q, t)/τ(q, T = 469 K) as a function of non-dimensionalzied wavevector, qξ D (T). The amplitude of the ratios is scaled to ∼1 at low q. The solid curve is the master plot of the relaxation times found from the incoherent dynamic structure factor obtained from simulations of a LJ liquid. 29 Dash (403 K) and dash-dotted (423 K) curves are the respective master plots based on the solid curve fits from Fig. 1 ; the waviness is presumably not real and represents a limitation of the simple analytic model.
Natural log-linear plot of the experimental alpha relaxation time versus the model-based deduced non-Fickian crossover dynamic length scale, ξ D (squares). Solid line is a linear fit.
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