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Proof of the identity between the depletion layer thickness and half the average span for an arbitrary polymer chain
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10.1063/1.2970935
/content/aip/journal/jcp/129/7/10.1063/1.2970935
http://aip.metastore.ingenta.com/content/aip/journal/jcp/129/7/10.1063/1.2970935

Figures

Image of FIG. 1.
FIG. 1.

Schematic illustration of a polymer chain in a slit confinement. The confinement size is denoted by , and the orientation of the slit is denoted by , which is a unit vector normal to the slit plane. is the span in the direction of the polymer chain with configuration , which is divided into two parts, and , by the projection point of bead located at distance from the slit plane at .

Image of FIG. 2.
FIG. 2.

Normalized density distribution of the Com near a single wall for linear Gaussian bead-spring chains of beads. The distance to the wall is normalized by (a) the radius of gyration and (b) the steric exclusion radius of the unconfined molecule. The analytical solution by Eisenriegler and Maassen (Ref. 61) is included, which corresponds to .

Image of FIG. 3.
FIG. 3.

Simulation results of the radius of gyration and steric exclusion radius with respect to the theoretical values of the radius of gyration , which is predicted by Eq. (30), are plotted as a function of the total number of beads in a linear Gaussian bead-spring polymer chain. A numerical fit of the data is also included.

Image of FIG. 4.
FIG. 4.

Normalized Com density distributions for a linear Gaussian bead-spring polymer of beads in a slit confinements of different width. The number inserted for each curve corresponds to the slit width with respect to . The axis is chosen such that in (a) the center of the slit is at zero and at (b) the bottom plane of the slit is at zero. The full profile is shown in (a), while only half the profile (from the bottom plane up to the axis of symmetry) is shown in (b). The analytical solution (Ref. 61) corresponds to and .

Image of FIG. 5.
FIG. 5.

Results of are shown as a function of for linear Gaussian bead-spring polymers of beads in a slit confining geometry of width , where is the effective depletion thickness introduced in Eq. (28), and is the steric exclusion radius of the unconfined polymer chain.

Tables

Generic image for table
Table I.

Characteristic ratios between the steric exclusion radius and the root-mean-square radius of gyration for ideal chain polymers of linear, ring (Ref. 72), and -arm symmetric star (Ref. 34) architectures.

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/content/aip/journal/jcp/129/7/10.1063/1.2970935
2008-08-21
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Proof of the identity between the depletion layer thickness and half the average span for an arbitrary polymer chain
http://aip.metastore.ingenta.com/content/aip/journal/jcp/129/7/10.1063/1.2970935
10.1063/1.2970935
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