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Article
Stability of the gyroid phase in diblock copolymers at strong segregation
Macromolecules (2006)
  • Eric W. Cochran
  • Carlos J. Garcia-Cervera
  • Glenn H. Fredrickson
Abstract

The gyroid phase in diblock copolymers at strong segregation was stabilized. The intriguing topology of the network structure has inspired a diverse array of potential applications ranging from high-performance separation membranes to photonic crystals. The pressure field enforces incompressibility, while the exchange field is conjugate to the composition pattern in the melt. The Laplacian operator is treated implicitly with a fourth-order backward differentiation formula (BDF4), whereas the source term is discretized explicitly using fourth-order accurate Adams-Bashford.

Keywords
  • gyroid phase,
  • photonic crystals,
  • separaton membranes,
  • crystals,
  • methematical operators,
  • polymeric membranes,
  • separation,
  • topology,
  • block copolymers
Publication Date
March, 2006
Publisher Statement
Reprinted with permission from Cochran, E.W., Garcia-Cervera, C.J., Fredrickson, G.H. Stability of the gyroid phase in diblock copolymers at strong segregation (2006) Macromolecules, 39 (7), pp. 2449-2451. DOI: 10.1021/ma0527707. Copyright 2006 American Chemical Society.
Citation Information
Eric W. Cochran, Carlos J. Garcia-Cervera and Glenn H. Fredrickson. "Stability of the gyroid phase in diblock copolymers at strong segregation" Macromolecules Vol. 39 Iss. 7 (2006)
Available at: http://works.bepress.com/eric_cochran/16/