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¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

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Polymers02:34

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The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the properties that they exhibit. Additionally,...
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The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the properties that they exhibit. Additionally,...

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Preparation and Friction Force Microscopy Measurements of Immiscible, Opposing Polymer Brushes
13:57

Preparation and Friction Force Microscopy Measurements of Immiscible, Opposing Polymer Brushes

Published on: December 24, 2014

Spectral collocation methods for polymer brushes.

Tanya L Chantawansri1, Su-Mi Hur, Carlos J García-Cervera

  • 1Department of Chemical Engineering, University of California, Santa Barbara, California 93106, USA.

The Journal of Chemical Physics
|July 5, 2011
PubMed
Summary
This summary is machine-generated.

We present novel pseudo-spectral numerical methods for modeling polymer brush self-assembly using self-consistent field theory (SCFT). These methods reduce numerical challenges, enabling more complex 3D studies of polymer systems.

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Area of Science:

  • Polymer Physics
  • Computational Materials Science
  • Soft Matter Physics

Background:

  • Self-consistent field theory (SCFT) is crucial for modeling polymer brushes.
  • Numerical simulations of polymer brushes face challenges due to sharp pressure fields at grafting surfaces.
  • Existing methods struggle with the chain end tethering constraint.

Purpose of the Study:

  • To develop and investigate pseudo-spectral numerical methods for modeling molten mixed polymer brushes.
  • To address numerical challenges in SCFT simulations of polymer brushes.
  • To provide a foundation for advanced 3D SCFT studies.

Main Methods:

  • Applied pseudo-spectral numerical methods within the SCFT framework.
  • Investigated smearing grafting points and using compressible models to reduce pressure anomalies.
  • Utilized Neumann and Dirichlet boundary conditions with a masking method.
  • Compared source (delta function) and smeared grafting point distributions.

Main Results:

  • Smearing grafting points or using a compressible model reduces pressure anomalies.
  • Smeared distributions offer faster convergence for density profiles and relative free energies.
  • Absolute free energies converge only with smeared distributions.
  • Fewer iterations are needed for SCFT field convergence in compressible models with smeared distributions and sine basis.

Conclusions:

  • The developed numerical methods effectively model polymer brush self-assembly.
  • These methods overcome previous numerical limitations in SCFT.
  • The 1D framework provides a basis for computationally intensive 3D studies of diverse polymer brush systems.