Evolution and Competition of Block Copolymer Nanoparticles
From MaRDI portal
Publication:4610482
DOI10.1137/18M1192809zbMath1498.74064MaRDI QIDQ4610482
Publication date: 23 January 2019
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
mass diffusionchemical potentialOstwald ripeningsharp interface approximationlong-range attractionorientational alignmentthree-phase density functional
Dynamics of phase boundaries in solids (74N20) Chemical and reactive effects in solid mechanics (74F25)
Related Items
Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures, Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model, On a quaternary nonlocal isoperimetric problem, On a Coupled Cahn–Hilliard System for Copolymer/Homopolymer Mixtures, Periodic minimizers of a ternary non-local isoperimetric problem
Cites Work
- A stationary core-shell assembly in a ternary inhibitory system
- Diblock copolymer/homopolymer blends: derivation of a density functional theory
- Coarsening and self-organization in dilute diblock copolymer melts and mixtures
- Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids
- Copolymer-homopolymer blends: global energy minimisation and global energy bounds
- Some mathematical aspects of the micro-phase separation in diblock copolymers
- Stability of monolayers and bilayers in a copolymer-homopolymer blend model
- Proof of the double bubble conjecture
- Multidimensional equilibria and their stability in copolymer-solvent mixtures
- A double bubble in a ternary system with inhibitory long range interaction
- Bubble assemblies in ternary systems with long range interaction
- Improving the accuracy of convexity splitting methods for gradient flow equations
- Spatially Localized Structures in Diblock Copolymer Mixtures
- Study of a three component Cahn-Hilliard flow model
- Front migration in the nonlinear Cahn-Hilliard equation
- Spherical Solutions to a Nonlocal Free Boundary Problem from Diblock Copolymer Morphology
- A multi-phase Mullins–Sekerka system: matched asymptotic expansions and an implicit time discretisation for the geometric evolution problem
- Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
- On the Multiplicity of Solutions of Two Nonlocal Variational Problems
- Concentrically layered energy equilibria of the di-block copolymer problem
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Competitive Geometric Evolution of Amphiphilic Interfaces
- Characterising the disordered state of block copolymers: Bifurcations of localised states and self-replication dynamics
- Multilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixtures
- Scaling laws in microphase separation of diblock copolymers
