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Title: Translational diffusion coefficient of wormlike regular three-arm stars
Authors: Ida, Daichi  kyouindb  KAKEN_id  orcid (unconfirmed)
Author's alias: 井田, 大地
Issue Date: 17-Jun-2015
Publisher: Nature Publishing Group
Journal title: Polymer Journal
Volume: 47
Issue: 10
Start page: 679
End page: 685
Abstract: Effects of chain stiffness on the translational diffusion coefficient Dor (effective) hydrodynamic radius RH (∝ D[−1]) are examined theoretically for the regular three-arm star polymers on the basis of the Kratky–Porod (KP) wormlike chain model. The ratio gH of RHof the regular KP three-arm star touched-bead model to that of the KP linear one, both having the same (reduced) total contour lengthL and (reduced) bead diameter db, is numerically evaluated on the basis of the Kirkwood formula and/or the Kirkwood–Riseman (KR) hydrodynamic equation. From an examination of the behavior of the Kirkwood value gH(K) and the KR one gH(KR) of gH as a function of L and db, it is found that both of gH(K) and gH(KR) are insensitive to change in L irrespective of the value of db and that gH(KR) is slightly larger than gH(K) in the ranges of L and db investigated. An empirical interpolation formula is constructed for gH(K), which reproduces the asymptotic values√3/(2√2-1) (=0.947) in the random-coil limit and 1 in the thin-rod limit.
Rights: © 2015 The Society of Polymer Science, Japan
This is the accepted manuscript of an article is available at
The full-text file will be made open to the public on 17 December 2015 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。This is not the published version. Please cite only the published version.
DOI(Published Version): 10.1038/pj.2015.44
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