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Scaling behavior of a brush–homopolymer interface in the limit of high grafting density
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10.1063/1.1883166
/content/aip/journal/jcp/122/14/10.1063/1.1883166
http://aip.metastore.ingenta.com/content/aip/journal/jcp/122/14/10.1063/1.1883166
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic diagram of a polymer film of thickness, , consisting of a strongly stretched polymer brush of height, , covered (or wet) by a layer of chemically identical homopolymer. We refer to the brush as dry in the limit, .

Image of FIG. 2.
FIG. 2.

(a) Self-consistent fields, , for wet (solid curves) and dry (dashed curves) brushes of various thickness, . The dotted curve denotes the SST prediction in Eq. (1). (b) Scaling plot of demonstrating the behavior of the fields in the limit .

Image of FIG. 3.
FIG. 3.

(a) Brush profile, , for wet (solid curves) and dry (dashed curves) brushes of various thickness, . (b) Scaling plot of the wet-brush results compared against the SST prediction (dotted curve) calculated by Eq. (29). Note that the SST curve is symmetric with respect to a 180° rotation about the cross at and

Image of FIG. 4.
FIG. 4.

(a) End-segment distribution, , for wet (solid curves) and dry (dashed curves) brushes of various thickness, . (b) Scaling plot of the wet-brush results compared against the SST prediction (dotted curve) in Eq. (36).

Image of FIG. 5.
FIG. 5.

(a) Free energy of the brush, , relative to from Eq. (37) plotted as a function of the brush thickness, . The solid dots denote the SCFT calculations, while the solid curve represents the fit given by Eq. (38). The crosses and dashed curve compare analogous results for the dry brush examined in Ref. 4. (b) Equivalent plot, but at a sufficiently reduced scale so as to show the SST prediction (dotted curve) from Eq. (31). For purposes of comparison, the SST curve has been shifted vertically.

Image of FIG. 6.
FIG. 6.

Homopolymer free energy, , as a function of brush thickness, . The solid dots denote the SCFT calculations and the solid curve shows the fit specified by Eq. (39). The SST prediction from Eq. (32) is denoted by the dotted curve.

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/content/aip/journal/jcp/122/14/10.1063/1.1883166
2005-04-12
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Scaling behavior of a brush–homopolymer interface in the limit of high grafting density
http://aip.metastore.ingenta.com/content/aip/journal/jcp/122/14/10.1063/1.1883166
10.1063/1.1883166
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