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Cole–Davidson dynamics of simple chain models
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10.1063/1.3050105
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Affiliations:
1 Department of Materials and Metallurgical Engineering, New Mexico Institute of Mining and Technology, Socorro, New Mexico 87801, USA
2 Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
a) Author to whom correspondence should be addressed. Electronic mail: mccoy@nmt.edu.
J. Chem. Phys. 130, 024903 (2009)
/content/aip/journal/jcp/130/2/10.1063/1.3050105
http://aip.metastore.ingenta.com/content/aip/journal/jcp/130/2/10.1063/1.3050105
View: Figures

## Figures

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 , ).

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 .

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, , , ).

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 .

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.

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.

/content/aip/journal/jcp/130/2/10.1063/1.3050105
2009-01-13
2014-04-23

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