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The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.
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Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
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Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
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Copolymers are the products obtained from the polymerization of multiple monomer species. So, in a polymer chain itself, there can be multiple repeating units that come from different monomers. The process of synthesizing a polymer from different monomer species is called copolymerization. When two monomers are involved, the polymer is known as a bipolymer. Polymers with three and four monomers are termed terpolymers and quaterpolymers, respectively. Figure 1 depicts the copolymerization of...
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Polymer Classification: Stereospecificity01:26

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Polymerization generates chiral centers along the entire backbone of a polymer chain. Accordingly, the stereochemistry of the substituent group has a significant effect on polymer properties. Polymers formed from monosubstituted alkene monomers feature chiral carbons at every alternate position in the polymer backbone. Relative to the predominant orientation of substituents at the adjacent chiral carbons, the polymer can exist in three different configurations: isotactic, syndiotactic, and...
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Ziegler–Natta polymerization is another form of addition or chain‐growth polymerization used for synthesizing linear polymers over branched polymers. The catalyst used for polymerization is the Ziegler–Natta catalyst, named after Karl Ziegler and Giulio Natta, who developed it in 1953. This catalyst is an organometallic complex of titanium tetrachloride and triethyl aluminum, with the active form of the catalyst being an alkyl titanium compound. Using the Ziegler–Natta...
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Related Experiment Video

Updated: Oct 25, 2025

Synthesis of Monodisperse Cylindrical Nanoparticles via Crystallization-driven Self-assembly of Biodegradable Block Copolymers
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Field-Theoretic Simulations for Block Copolymer Melts Using the Partial Saddle-Point Approximation.

Mark W Matsen1,2,3, Thomas M Beardsley3

  • 1Department of Chemical Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada.

Polymers
|August 10, 2021
PubMed
Summary
This summary is machine-generated.

Field-theoretic simulations (FTS) offer an efficient method for studying block copolymer fluctuations. This review details a variant of FTS, enabling advanced simulations of copolymer melts and blends.

Keywords:
Fddd phasebicontinuous microemulsionblock copolymer meltsfield-theoretic simulationsgyroid phasemolecular self-assemblyorder-disorder transitionsphase diagrams

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Area of Science:

  • Polymer Science
  • Computational Materials Science
  • Statistical Mechanics

Background:

  • Traditional particle-based simulations face limitations in studying fluctuation effects in block copolymer melts.
  • Field-theoretic simulations (FTS) offer an efficient alternative for these systems.
  • The field-based Hamiltonian involves composition and pressure fields crucial for component segregation and incompressibility.

Purpose of the Study:

  • Introduce a promising variant of FTS where the composition field fluctuates while the pressure field remains at its mean-field value.
  • Provide a comprehensive guide to the theoretical foundation and numerical implementation of this FTS method.
  • Illustrate the application of the method for various block copolymer systems.

Main Methods:

  • Detailed description of a variant of Field-Theoretic Simulations (FTS).
  • Focus on fluctuating composition field (W-(r)) and mean-field pressure field (W+(r)).
  • Numerical implementation for AB diblock copolymer melts and ternary blends.

Main Results:

  • Demonstration of FTS applicability to neat AB diblock copolymer melts.
  • Successful application to ternary blends of AB diblock copolymers with parent homopolymers.
  • Open-source code provided for CPU and GPU execution.

Conclusions:

  • The reviewed FTS variant is a powerful tool for investigating fluctuation effects in complex polymer systems.
  • The availability of open-source code facilitates wider adoption by researchers.
  • Future outlook for advanced simulations in polymer science is promising.