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Cole–Davidson dynamics of simple chain models
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View: Figures


Image of FIG. 1.
FIG. 1.

(a) Solid line: Simulation FR-R (, , and ). Dashed lines: KWW (at low , top curve, ; middle, ; bottom, ). (b) CC plot of the transform of without smoothing. (c) CC plot of smoothed with a single exponential patch (solid line) with KWW curves (top dashed line, ; middle, ; bottom, ). (d) Same as (c) but with CD curves (top dashed line, ; middle, ; bottom, ). (e) Relaxation time distribution function (solid curve: CD with , ; dashed curve: KWW with , ).

Image of FIG. 2.
FIG. 2.

CC plots for a selection of systems as denoted. Solid lines are simulation results. Dashed lines are CD fits with indicated parameters. has units of and has units of .

Image of FIG. 3.
FIG. 3.

Loss modulus vs shifted by at maximum. Panels (a) and (c) are FJ; (b) and (d) are FR. Same data plotted in left- and right-hand plots. In (c) from top to bottom are (FJ-R, , , ), (FJ-R, , , ), (FJ-R, , , ), and (FJ-R, , , ). In (d) from top to bottom are (FR-R, , , ), (FR-R, , , ), (FR-R, , , ), and (FR-A, , , ).

Image of FIG. 4.
FIG. 4.

CD fits for and . (a) and (b) are storage moduli . (c) and (d) are loss moduli . (a) and (c) are FJ. (b) and (d) are FR. In (a) and (c) from left to right: (, ), , and . In (b) and (d) from left to right: , , and . Additional information on plot: top to bottom corresponds to left to right: and .

Image of FIG. 5.
FIG. 5.

Stretching parameter and relaxation time as a function of packing fraction . (a) and (c) for FJ systems. (b) and (c) for FR systems. Results for both CD (squares, circles) and mKWW (triangles, inverted triangles) fits. Both repulsive (triangles, squares) and attractive (inverted triangles, circles) results are reported.

Image of FIG. 6.
FIG. 6.

Correlation between parameters for two fitting procedures: mKWW and CD. Stretching parameter and ratio of characteristic times as a function of . (a) and (c) for FJ systems. (b) and (c) for FR systems. Both repulsive (squares) and attractive (circles) results are reported. Lines denote Lindsey–Patterson relationships between CD and KWW.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Cole–Davidson dynamics of simple chain models