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Coherent neutron scattering and collective dynamics on mesoscale
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View: Figures


Image of FIG. 1.
FIG. 1.

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.

Image of FIG. 2.
FIG. 2.

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.

Image of FIG. 3.
FIG. 3.

Ratio of the collective relaxation times at different temperatures (symbols, the data for τ(q, t) from Ref. 1 ). Solid curves are fits using Eq. (15) for τ(q, t). Horizontal arrows indicate the ratios of the diffusion coefficients and viscosity at the relevant temperatures.

Image of FIG. 4.
FIG. 4.

Master plot of the ratio τ(q, t)/τ(q, T = 469 K) as a function of non-dimensionalzied wavevector, 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.

Image of FIG. 5.
FIG. 5.

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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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Coherent neutron scattering and collective dynamics on mesoscale