Miscibility phase diagram of ring-polymer blends: A topological effect

Takahiro Sakaue, Chihiro H. Nakajima

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The miscibility of polymer blends, a classical problem in polymer science, may be altered, if one or both of the component do not have chain ends. Based on the idea of topological volume, we propose a mean-field theory to clarify how the topological constraints in ring polymers affect the phase behavior of the blends. While the large enhancement of the miscibility is expected for ring-linear polymer blends, the opposite trend toward demixing, albeit comparatively weak, is predicted for ring-ring polymer blends. Scaling formulas for the shift of critical point for both cases are derived. We discuss the valid range of the present theory, and the crossover to the linear polymer blends behaviors, which is expected for short chains. These analyses put forward a view that the topological constraints could be represented as an effective excluded-volume effects, in which the topological length plays a role of the screening factor.

Original languageEnglish
Article number042502
JournalPhysical Review E
Volume93
Issue number4
DOIs
Publication statusPublished - Apr 21 2016

Fingerprint

Polymer Blends
polymer blends
Phase Diagram
solubility
phase diagrams
Ring
rings
Polymers
Mean-field Theory
polymers
Screening
Crossover
Critical point
critical point
crossovers
screening
Enhancement
Scaling
Valid
trends

All Science Journal Classification (ASJC) codes

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

Cite this

Miscibility phase diagram of ring-polymer blends : A topological effect. / Sakaue, Takahiro; Nakajima, Chihiro H.

In: Physical Review E, Vol. 93, No. 4, 042502, 21.04.2016.

Research output: Contribution to journalArticle

Sakaue, Takahiro ; Nakajima, Chihiro H. / Miscibility phase diagram of ring-polymer blends : A topological effect. In: Physical Review E. 2016 ; Vol. 93, No. 4.
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