Abstract
The ratio gη between the values of the intrinsic viscosity [η] of the Kratky–Porod wormlike regular four-arm star and linear touched-bead models, both having the same total contour length L and bead diameter db (both in units of the stiffness parameter λ−1), was numerically evaluated using the Kirkwood–Riseman approximation. By examination of the behavior of gη as a function of L and db, it was found that the ratio gη/gη0 of gη to its asymptotic value gη0 in the rod limit monotonically increases from 1 to 3.27 with increasing L and is almost independent of db for db≲0.2, although the behavior of gη itself as a function of L has remarkable dependence on db. Furthermore, the behavior of the ratio gη,4/gη,3 between the values of gη of four- (gη,4) and three-arm (gη,3) stars, both having the same L and db, was examined as a function of L and db. It was then found that gη,4/gη,3 first decreases from the asymptotic value 0.91 in the random-coil limit and then increases after passing through a minimum, with decreasing L in the range of db examined, and gη,4/gη,3 appreciably depends on db, as in the cases of gη,4 and gη,3 themselves.
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Kaneshima, T., Ida, D. & Yoshizaki, T. Intrinsic viscosity of wormlike regular four-arm stars. Polym J 44, 115–120 (2012). https://doi.org/10.1038/pj.2011.45
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DOI: https://doi.org/10.1038/pj.2011.45
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