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Detailed balance condition and effective free energy in the primitive chain network model
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10.1063/1.3658775
/content/aip/journal/jcp/135/18/10.1063/1.3658775
http://aip.metastore.ingenta.com/content/aip/journal/jcp/135/18/10.1063/1.3658775
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The slip-linked subchain number distribution functions with various values of Z 0. Solid and dashed curves show the exact and approximate distribution functions for the single chain repulsive slip-link model, respectively. The dotted curves show the Poisson distribution which corresponds to the distribution of the single chain non-interacting slip-link model. Z 0 = 5, 10, 20, 40, and 80 from left to right. The approximate distributions almost coincide with the exact distributions.

Image of FIG. 2.
FIG. 2.

Dependence of the variance of slip-linked subchain number on the average . The solid and dashed curves show the exact and approximate variances for the repulsive slip-link model, and the dotted curve shows the variance for the non-interacting slip-link model (). The approximate curve is very close to the exact curve.

Image of FIG. 3.
FIG. 3.

The segment number distribution functions for sufficiently large Z 0. Solid and dotted curves show the distribution functions for the repulsive and non-interacting slip-link models, respectively.

Image of FIG. 4.
FIG. 4.

The bond length distribution functions for sufficiently large Z 0. Solid and dotted curves show the distribution functions for the repulsive and non-interacting slip-link models, respectively.

Image of FIG. 5.
FIG. 5.

The slip-linked subchain number distribution functions by single chain models and PCN simulations. Curves are theoretical predictions by single chain models and symbols are simulation data. Z 0 = 5, 10, 20, and 40 from left to right.

Image of FIG. 6.
FIG. 6.

The segment number distribution functions calculated by single chain models and PCN simulations (for Z 0 = 40). Curves and symbols represent the results by single chain models and PCN simulations, respectively.

Image of FIG. 7.
FIG. 7.

The bond length distribution functions calculated by single chain models and PCN simulations (for Z 0 = 40). Curves and symbols represent the results by single chain models and PCN simulations, respectively.

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/content/aip/journal/jcp/135/18/10.1063/1.3658775
2011-11-10
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Detailed balance condition and effective free energy in the primitive chain network model
http://aip.metastore.ingenta.com/content/aip/journal/jcp/135/18/10.1063/1.3658775
10.1063/1.3658775
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