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Properties of knotted ring polymers. II. Transport properties
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10.1063/1.3457161
/content/aip/journal/jcp/133/4/10.1063/1.3457161
http://aip.metastore.ingenta.com/content/aip/journal/jcp/133/4/10.1063/1.3457161

Figures

Image of FIG. 1.
FIG. 1.

Mass-scaling of the hydrodynamic radius of swollen knots. Dashed lines are linear least-squares fits.

Image of FIG. 2.
FIG. 2.

Mass-scaling of the hydrodynamic radius of theta-state knots. Dashed lines are linear least-squares fits.

Image of FIG. 3.
FIG. 3.

Mass-scaling of the intrinsic viscosity of swollen knots. Dashed lines are linear least-squares fits.

Image of FIG. 4.
FIG. 4.

Mass-scaling of the intrinsic viscosity of theta-state knots. Dashed lines are linear least-squares fits.

Image of FIG. 5.
FIG. 5.

Correlations between hydrodynamic mobility (proportional to ) and average crossing number for swollen knots. The seven knots between and are linearly correlated (dashed lines) at all values examined.

Image of FIG. 6.
FIG. 6.

Same as Fig. 5 for theta-state knots.

Image of FIG. 7.
FIG. 7.

Relative hydrodynamic mobilities of linear chains L, unknotted ring chains U, and of the knots of the indicated numbers of crossings, on an arbitrary scale, as predicted by our calculations. In contrast, empirical electrophoretic mobilities of linear chains are often larger than those of unknots and of at least some of the knots.

Image of FIG. 8.
FIG. 8.

-dependence of the ratio for swollen knots.

Image of FIG. 9.
FIG. 9.

-dependence of the ratio for theta-state knots.

Image of FIG. 10.
FIG. 10.

-dependence of the ratio for swollen knots.

Image of FIG. 11.
FIG. 11.

-dependence of the ratio for theta-state knots.

Image of FIG. 12.
FIG. 12.

Dependence of the intrinsic viscosity prefactor on for the indicated models. These data are used to determine the approximations of Eqs. (A1) and (A2).

Tables

Generic image for table
Table I.

Effective mass-scaling exponents for the hydrodynamic radius.

Generic image for table
Table II.

Effective mass-scaling exponents for the intrinsic viscosity.

Generic image for table
Table III.

Overall trends in effective exponents.

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/content/aip/journal/jcp/133/4/10.1063/1.3457161
2010-07-27
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Properties of knotted ring polymers. II. Transport properties
http://aip.metastore.ingenta.com/content/aip/journal/jcp/133/4/10.1063/1.3457161
10.1063/1.3457161
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