• Corpus ID: 119322929

Step evolution in two-dimensional diblock copolymer films

@article{Parsons2017StepEI,
  title={Step evolution in two-dimensional diblock copolymer films},
  author={Quentin Parsons and David Kay and Andreas Munch},
  journal={arXiv: Computational Physics},
  year={2017}
}
The formation and dynamics of free-surface structures, such as steps or terraces and their interplay with the phase separation in the bulk are key features of diblock copolymer films. We present a phase-field model with an obstacle potential which follows naturally from derivations of the Ohta-Kawasaki energy functional via self-consistent field theory. The free surface of the film is incorporated into the phase-field model by including a third phase for the void. The resulting model and its… 

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References

SHOWING 1-10 OF 32 REFERENCES
Step Edges in Thin Films of Lamellar-Forming Diblock Copolymer
Self-consistent field theory (SCFT) is used to study the step edges that occur in thin films of lamellar-forming diblock copolymer, when the surfaces each have an affinity for one of the polymer
On the Derivation of a Density Functional Theory for Microphase Separation of Diblock Copolymers
We consider here the problem of phase separation in copolymer melts. The Ohta–Kawasaki density functional theory gives rise to a nonlocal Cahn–Hilliard-like functional, promoting the use of
Dynamics of terrace formation in a nanostructured thin block copolymer film.
TLDR
Calculations show for the first time that microstructural transitions are a driving force of polymer/air interface curving and the formation of terraces in ABA block copolymer thin film.
DOMAIN PATTERNS IN COPOLYMER-HOMOPOLYMER MIXTURES
We introduce a dynamical model and carry out computer simulations for phase separation of diblock copolymer-homopolymer mixtures. The homopolymer chains are assumed to be compatible with one of the
Structure of Asymmetric Diblock Copolymers in Thin Films
The structure of asymmetric poly(styrene-b.-2-vinylpyridine) (PS-PVP) diblock copolymers allowed to order in a thin film is observed by a combination of secondary ion mass spectrometry and scanning
Equilibrium morphology of block copolymer melts
The field theoretical approach developed in an earlier work (Kawasaki, K.; et al. Macromolecules 1988, 21, 2972) was recast in such a way as to avoid power series expansion in the concentration
Dynamics of phase separation in copolymer-homopolymer mixtures.
  • Ohta, Ito
  • Materials Science
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1995
TLDR
It is shown that a morphological transition occurs by changing the incompatibility strength between the homopolymer and one of the blocks, and that a microphase separation also starts in the copolymer-rich domains.
On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn--Hilliard Functional
TLDR
This work considers analytical and numerical aspects of the phase diagram for microphase separation of diblock copolymers and identifies a regime wherein the uniform (disordered state) is the unique global minimizer.
Ordering Phenomena in Thin Block Copolymer Films Studied Using Atomic Force Microscopy
Ordering phenomena in block copolymers have attracted much theoretical and experimental attention. Most work focuses on lamellar mesophases. We have used atomic force microscopy to study cylindrical
Density Functional Theory for Block Copolymer Melts and Blends
We derive an expression for the free energy of the blends of block copolymers expressed as a functional of the density distribution of the monomer of each block. The expression is a generalization of
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