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Field-theoretic model of inhomogeneous supramolecular polymer networks and gels
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10.1063/1.3497038
/content/aip/journal/jcp/133/17/10.1063/1.3497038
http://aip.metastore.ingenta.com/content/aip/journal/jcp/133/17/10.1063/1.3497038
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic illustration of the linear (a) and branched (b) isomeric forms of a polymer composed of four monomeric units with . The circles represent nodes and the crosses represent reacted terminals.

Image of FIG. 2.
FIG. 2.

Schematic illustration of a treelike polymer structure for . The circles represent nodes and the crosses represent reacted terminals.

Image of FIG. 3.
FIG. 3.

(a) (number average degree of polymerization) vs (fractional conversion) and (b) (weight average degree of polymerization) vs for several values of with in a homogeneous system.

Image of FIG. 4.
FIG. 4.

(a) (fractional conversion) vs (solid line) and (fractional conversion in the sol phase) vs (dashed line), and (b) (reduced density in the sol phase) vs (solid line) and (reduced density of unreacted monomeric units) vs (dashed line) in a homogeneous system with .

Image of FIG. 5.
FIG. 5.

(a) (number average degree of polymerization in the sol phase) vs and (b) (weight average degree of polymerization in the sol phase) vs under confinement with and (circles) and in a homogeneous system (triangles) for . The dashed lines are meant to guide the eye.

Image of FIG. 6.
FIG. 6.

(reduced density) vs for (solid line), 3 (dashed line), 5.2 (dashed-dotted line), 8 (dotted line), and 14 (dashed-double-dotted line) under confinement, with , , and .

Image of FIG. 7.
FIG. 7.

(a) vs and (b) vs in the pregelation regime for (dashed line), 2 (dashed-dotted line), 3 (dashed-double-dotted line), 4 (dotted line), and 5.1 (solid line) under confinement, with , , and . The arrow indicates the direction of increasing .

Image of FIG. 8.
FIG. 8.

(a) vs and (b) vs in the postgelation regime for (dashed line), 5.5 (dashed-dotted line), 6 (dotted line), 8 (dashed-double-dotted line), and 14 (solid line) under confinement, with , , and . The arrow indicates the direction of increasing .

Image of FIG. 9.
FIG. 9.

(a) vs and (b) vs in the postgelation regime for (dashed line), 5.5 (dashed-dotted line), 6 (dotted line), 8 (dashed-double-dotted line), and 14 (solid line) under confinement, with , , and . The arrow indicates the direction of increasing .

Image of FIG. 10.
FIG. 10.

(a) vs , (b) vs , and (c) vs under confinement, with , , , and (dashed line), 0.1 (dashed-dotted line), 1 (solid line), 2 (dotted line), and 10 (dashed-double-dotted line). The arrow indicates the direction of increasing .

Image of FIG. 11.
FIG. 11.

Distinct rooted, ordered trees having and nodes, with . The circles represent nodes and the crosses represent reacted terminals.

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/content/aip/journal/jcp/133/17/10.1063/1.3497038
2010-11-01
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Field-theoretic model of inhomogeneous supramolecular polymer networks and gels
http://aip.metastore.ingenta.com/content/aip/journal/jcp/133/17/10.1063/1.3497038
10.1063/1.3497038
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