Abstract
The ratio gη of the intrinsic viscosity of the Kratky–Porod (KP) wormlike regular three-arm star touched-bead model to that of the KP linear one, both having the same (reduced) total contour length L and (reduced) bead diameter db, is numerically evaluated in the Kirkwood–Riseman (KR) approximation. Prior to the evaluation of gη, an interpolation formula for the mean reciprocal of the end-to-end distance of the once-broken KP chain, which is necessary for the theoretical calculation in the KR approximation, is constructed on the basis of the asymptotic forms derived by the use of the Daniels method near the random-coil limit and the ε method near the rod limit and also on the basis of the Monte Carlo results. From an examination of the behavior of gη as a function of L and db, it is found that the ratio gη/gη0 of gη to the rod-limiting value gη0 of gη monotonically increases from 1 to 2.03 with increasing L and is almost independent of db for db<0.2, although the behavior of gη itself as a function of L remarkably depends on db. An empirical interpolation formula is then constructed for gη/gη0 as a function of L, which is considered to be useful for practical purposes.
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Ida, D., Nakamura, Y. & Yoshizaki, T. Intrinsic Viscosity of Wormlike Regular Three-Arm Stars. Polym J 40, 256–267 (2008). https://doi.org/10.1295/polymj.PJ2007205
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DOI: https://doi.org/10.1295/polymj.PJ2007205
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