Statistics and geometrical picture of ring polymer melts and solutions

Takahiro Sakaue

研究成果: Contribution to journalArticle査読

24 被引用数 (Scopus)


We present a detailed account of a recently proposed phenomenological theory for noncatenated ring polymer melts. A basic assumption lies in the implementation of the noncatenation constraint via the effective excluded-volume effect, from which a geometrical picture of melts emerges. The result captures many of the salient features observed so far, including (i) the overall spatial size of rings, (ii) the coordinate number, i.e., the number of rings surrounding a given ring, (iii) the topological length scale as a function of the molecular weight, and (iv) the effect of the chain stiffness and concentration. We also suggest a geometrical interpretation of the topological length scale, which may shed some light on the entanglement concept in polymeric systems.

ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
出版ステータス出版済み - 2 21 2012

All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学


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