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Interfacial growth as a model of tube-width heterogeneities in concentrated solutions of stiff polymers
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View: Figures


Image of FIG. 1.
FIG. 1.

The dimensionless tube-width distribution, (), as calculated from Eq. (9) , versus the dimensionless tube width, , where, and , for the following values of the dimensionless deflection length, = /: 0.07, 0.09, 0.12, and 0.15. Inset: () versus at = 0.3, highlighting the asymmetry of the distribution.

Image of FIG. 2.
FIG. 2.

The scaled tube-width distribution ⟨ (), as calculated from Eq. (9) , versus the scaled tube width /⟨⟩ (solid black line) at a value of (0.09) that has been adjusted for best fit to experimental data points (open symbols) obtained from the inset to Fig. 3 of Ref. using the program in Ref. to reconstruct the data. The different symbols correspond to different chain concentrations, these being (in mg/ml): 0.2 (circles), 0.4 (squares), 0.6 (diamonds), 0.8 (triangles), and 1.0 mg/ml (inverted triangles). The dashed blue curve is the fit obtained by Glaser from a self-consistent pair collision theory. The dashed red curve is a fit obtained in Ref. from an analytical approximation to that theory.

Image of FIG. 3.
FIG. 3.

The coefficient of variation versus chain concentration (in mg/ml) for experiment (open symbols) and theory (horizontal lines). The open symbols correspond to the data on F-actin shown in Fig. 5 of Ref. , as reconstructed using the program in Ref. . The solid line is the curve = 0.218 obtained by evaluating (using Eq. (9) ) at that value of (0.09) at which ⟨ () best fits the experimental data (see Fig. 2 ). The dashed line is the theoretical curve = 0.155 as calculated by Glaser and Kroy. Inset: versus 1/ , as calculated from Eq. (9) , showing the location of the point = 0.218 at = 0.09.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Interfacial growth as a model of tube-width heterogeneities in concentrated solutions of stiff polymers