Geometric strong segregation theory for compositionally asymmetric diblock copolymer melts
arXiv:0812.0122
Abstract
We have identified the effect of the Wigner-Seitz cell geometry in the strong segregation limit of diblock copolymer melts with strong composition asymmetry. A variational problem is proposed describing the distortions of the chain paths due to the geometric constraints imposed by the cell shape. We computed the geometric excess energies for cylindrical phases arranged into hexagonal, square, and triangular lattices and explicitly demonstrated that the hexagonal lattice has the lowest energy for a fixed cell area.
arXiv comment5 pages, 1 figure; in "Singularities in nonlinear evolution phenomena and applications", CRM Series, Birkhauser, 2009
References in corpus (4)
- Theory of domain patterns in systems with long-range interactions of Coulomb type
- Phase diagram for diblock copolymer melts under cylindrical confinement
- Strong-Segregation Theory of Bicontinuous Phases in Block Copolymers
- Instabilities and disorder of the domain patterns in the systems with competing interactions