Diblock copolymer/homopolymer blends: Derivation of a density functional theory

No abstract is available for this paper.

• Publication year

  2005

• Venue

  Physica D: Nonlinear Phenomena

• Publication date

  2005-04-01

• Fields of study

  Materials Science, Chemistry

• Identifiers
  DOI 10.1016/J.PHYSD.2005.03.006
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• On the Derivation of a Density Functional Theory for Microphase Separation of Diblock Copolymers

  2003cited by this paper
• Gamma-Convergence for Beginners

  2002cited by this paper
• On the Multiplicity of Solutions of Two Nonlocal Variational Problems

  2000influential reference
• Block Copolymers—Designer Soft Materials

  1999cited by this paper
• DOMAIN PATTERNS IN COPOLYMER-HOMOPOLYMER MIXTURES

  1998influential reference
• Statistical physics of macromolecules

  1995cited by this paper
• Dynamics of phase separation in copolymer-homopolymer mixtures.

  1995influential reference
• Some mathematical aspects of the micro-phase separation in diblock copolymers

  1995cited by this paper
• Spatial distribution of homopolymers in block copolymer microdomains as observed by a combined SANS and SAXS method

  1994cited by this paper
• Ordered Structures of Block Copolymer/Homopolymer Mixtures. 5. Interplay of Macro- and Microphase Transitions

  1994cited by this paper
• Stable and unstable phases of a diblock copolymer melt.

  1994cited by this paper
• From Microphysics to Macrophysics: Methods and Applications of Statistical Physics

  1992cited by this paper
• Ordered structure in mixtures of a block copolymer and homopolymers. 1. Solubilization of low molecular weight homopolymers

  1991cited by this paper
• Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids

  1990cited by this paper
• Local minimisers and singular perturbations

  1989cited by this paper
• The gradient theory of phase transitions and the minimal interface criterion

  1987cited by this paper
• Equilibrium morphology of block copolymer melts

  1986influential reference
• Theory of inhomogeneous multicomponent polymer systems

  1981cited by this paper
• Theory of Microphase Separation in Block Copolymers

  1980cited by this paper
• Block Copolymer Theory. 6. Cylindrical Domains

  1980cited by this paper
• Scaling Concepts in Polymer Physics

  1979cited by this paper
• Block Copolymer Theory. 5. Spherical Domains

  1978cited by this paper
• Block Copolymer Theory. 4. Narrow Interphase Approximation

  1976cited by this paper
• Theory of inhomogeneous polymers: Fundamentals of the Gaussian random‐walk model

  1975cited by this paper
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

  1958cited by this paper

• Decorated phases in triblock copolymers: Zeroth‐ and first‐order analysis

  2025influential citation
• Ohta–Kawasaki energy for amphiphiles: Asymptotics and phase-field simulations

  2024cites this paper
• On a quaternary nonlocal isoperimetric problem

  2023cites this paper
• Curve Lengthening via Regularized Motion Against Curvature from the Strong FCH Flow

  2022cites this paper
• Cyclic symmetry induced pitchfork bifurcations in the diblock copolymer model

  2022cites this paper
• Core Shells and Double Bubbles in a Weighted Nonlocal Isoperimetric Problem

  2022cites this paper
• Thermodynamically consistent algorithms for models of incompressible multiphase polymer solutions with a variable mobility

  2021cites this paper
• Thermodynamically Consistent Algorithms for Models of Diblock Copolymer Solutions Interacting with Electric and Magnetic Fields

  2021cites this paper
• Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity

  2021cites this paper
• On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers

  2021cites this paper
• Thin films of diblock copolymers: existence and two-dimensional regularity of minimizing configurations

  2021cites this paper
• Undulated bilayer interfaces in the planar functionalized Cahn-Hilliard equation

  2021cites this paper
• Equilibrium validation in models for pattern formation based on Sobolev embeddings

  2020cites this paper
• A Geometric Variational Problem on a Periodic Domain

  2020cites this paper
• Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

  2020cites this paper
• Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures

  2020cites this paper
• Evolution and Competition of Block Copolymer Nanoparticles

  2019cites this paper
• Theoretical prediction of morphological selection in amphiphilic systems.

  2019cites this paper
• Robust Stability of Multicomponent Membranes: The Role of Glycolipids

  2019cites this paper
• Periodic minimizers of a ternary non-local isoperimetric problem

  2019cites this paper
• Lamellar phase solutions for diblock copolymers with nonlocal diffusions

  2019cites this paper
• Stationary disk assemblies in a ternary system with long range interaction

  2019cites this paper
• PS-b-PMMA/PLA blends for nanoporous templates with hierarchical and tunable pore size

  2018cites this paper
• Γ-convergence of graph Ginzburg-Landau functionals August 27 , 2018

  2018cites this paper
• Step evolution in two-dimensional diblock copolymer films

  2017influential citation
• Multilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixtures

  2017influential citation
• An MBO Scheme for Minimizing the Graph Ohta–Kawasaki Functional

  2017cites this paper
• Ground states of a ternary system including attractive and repulsive Coulomb-type interactions

  2016cites this paper
• A stationary core-shell assembly in a ternary inhibitory system

  2016cites this paper
• Ground states of a ternary system including attractive and repulsive Coulomb-type interactions

  2016cites this paper
• Theory of Phase Separation and Polarization for Pure Ionic Liquids.

  2015cites this paper
• Sharp interface limit of an energy modelling nanoparticle-polymer blends

  2015cites this paper
• Optimal Distribution of Oppositely Charged Phases: Perfect Screening and Other Properties

  2015cites this paper
• A Double Bubble Assembly as a New Phase of a Ternary Inhibitory System

  2015cites this paper
• A Double Bubble Assembly as a New Phase of a Ternary Inhibitory System

  2014cites this paper
• Asymmetric and Symmetric Double Bubbles in a Ternary Inhibitory System

  2014cites this paper
• A Double Bubble in a Ternary System with Inhibitory Long Range Interaction

  2013cites this paper
• Asymmetric and symmetric double bubbles in an inhibitory ternary system

  2013cites this paper
• On the \(\Gamma \)-Convergence Theory and Its Application to Block Copolymer Morphology

  2013cites this paper
• Γ-CONVERGENCE OF GRAPH GINZBURG–LANDAU FUNCTIONALS

  2012cites this paper
• Γ-convergence of graph Ginzburg-Landau functionals July 8 , 2012

  2012cites this paper
• Films minces de copolymères à blocs pour la réalisation de gabarits à porosité contrôlée

  2012cites this paper
• A Double Bubble in a Ternary System with Inhibitory Long Range Interaction

  2012cites this paper
• Γ-convergence of graph Ginzburg-Landau functionals April 23 , 2012

  2012cites this paper
• Stripe patterns and a projection-valued formulation of the eikonal equation

  2012cites this paper
• A double bubble in a ternary system with long range interaction

  2012cites this paper
• $\Gamma$-convergence of graph Ginzburg-Landau functionals

  2012cites this paper
• Small Volume-Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional

  2010cites this paper
• Ring pattern solutions of a free boundary problem in diblock copolymer morphology

  2009cites this paper
• Uniform energy and density distribution: diblock copolymers' functional

  2009cites this paper
• Shell structure as solution to a free boundary problem from block copolymer morphology

  2009cites this paper
• STRIPE PATTERNS IN A MODEL FOR BLOCK COPOLYMERS

  2009cites this paper
• Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp-Interface Functional

  2009cites this paper
• Oval Shaped Droplet Solutions in the Saturation Process of Some Pattern Formation Problems

  2009cites this paper
• ALMOST PERIODIC PATTERN FORMATION : DIBLOCK COPOLYMERS ’ FUNCTIONAL

  2008cites this paper
• Spherical Solutions to a Nonlocal Free Boundary Problem from Diblock Copolymer Morphology

  2008cites this paper
• MANY DROPLET PATTERN IN THE CYLINDRICAL PHASE OF DIBLOCK COPOLYMER MORPHOLOGY

  2007cites this paper
• Nonlocal Cahn-Hilliard and Isoperimetric Problems: Periodic Phase Separation Induced by Competing Long- and Short-range Interactions

  2007cites this paper
• Single Droplet Pattern in the Cylindrical Phase of Diblock Copolymer Morphology

  2007cites this paper
• Copolymer–homopolymer blends: global energy minimisation and global energy bounds

  2007influential citation
• Stability of monolayers and bilayers in a copolymer-homopolymer blend model

  2007cites this paper
• Partial localisation in a variational model for diblock copolymer-homopolymer blends

  2004cites this paper