Self-consistent field theory for diblock copolymers grafted to a sphere
Cited 20 times inCited 15 times in
- Self-consistent field theory for diblock copolymers grafted to a sphere
- Vorselaars, Bart; Kim, Jaeup U.; Chantawansri, Tanya L.; Fredrickson, Glenn H.; Matsen, Mark W.
- Angular coordinates; Crank-Nicolson methods; Diblock copolymer; Diblocks; Diffusion equations; Dynamical parameters; Equilibrium morphology; Finite surface; Radial direction; Real-space; Self-consistent field; Self-consistent-field theory; Spherical surface; Structured polymers
- Issue Date
- ROYAL SOC CHEMISTRY
- SOFT MATTER, v.7, no.11, pp.5128 - 5137
- An efficient numerical self-consistent field theory (SCFT) algorithm is developed for treating structured polymers on spherical surfaces. The method solves the diffusion equations of SCFT with a pseudo-spectral approach that combines a spherical-harmonics expansion for the angular coordinates with a modified real-space Crank-Nicolson method for the radial direction. The self-consistent field equations are solved with Anderson-mixing iterations using dynamical parameters and an alignment procedure to prevent angular drift of the solution. A demonstration of the algorithm is provided for thin films of diblock copolymer grafted to the surface of a spherical core, in which the sequence of equilibrium morphologies is predicted as a function of diblock composition. The study reveals an array of interesting behaviors as the block copolymer pattern is forced to adapt to the finite surface area of the sphere.
- ; Go to Link
- Appears in Collections:
- SNS_Journal Papers
- Files in This Item:
can give you direct access to the published full text of this article. (UNISTARs only)
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.