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Hexagonal phase ordering in strongly segregated copolymer films.

Karl Glasner1

  • 1Department of Mathematics, University of Arizona, Tucson, Arizona 85721, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 14, 2015
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Summary
This summary is machine-generated.

Large-scale ordering in thin films of strongly segregated copolymers is simulated. A simplified model reveals three distinct temporal regimes governing pattern evolution and defect dynamics, with implications for material self-assembly.

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Area of Science:

  • Materials Science
  • Polymer Science
  • Statistical Physics

Background:

  • Strongly segregated copolymer mixtures with uneven composition can form hexagonally ordered thin films.
  • Previous models were limited to smaller domain sizes, hindering the study of large-scale order.

Purpose of the Study:

  • To develop a simplified model for micellelike clusters in copolymer thin films.
  • To investigate the generation of large-scale order and the evolution of pattern defects.
  • To analyze the temporal regimes and scaling laws governing pattern formation.

Main Methods:

  • Derivation of a simplified model for micellelike cluster size and position.
  • Computer simulations of the derived model to study pattern evolution.
  • Analysis of orientational correlation length and defect number over time.

Main Results:

  • Identification of three temporal regimes with distinct scaling laws for order and defects.
  • Early stage: rapid elimination of topological defects via pairwise annihilation.
  • Intermediate and final stages: characterized by grain boundary migration, elimination, and eventual pinning.

Conclusions:

  • The simplified model allows for investigation of larger domain sizes than previously possible.
  • A scaling law for defect interaction is proposed, explaining the transition between early and intermediate stages.
  • Understanding these regimes is crucial for controlling self-assembly in copolymer thin films.