Statistics and geometrical picture of ring polymer melts and solutions

Takahiro Sakaue

Research output: Contribution to journalArticlepeer-review

33 Citations (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.

Original languageEnglish
Article number021806
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number2
Publication statusPublished - Feb 21 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


Dive into the research topics of 'Statistics and geometrical picture of ring polymer melts and solutions'. Together they form a unique fingerprint.

Cite this