Multidimensional equilibria and their stability in copolymer-solvent mixtures

Karl B Glasner, Saulo Orizaga

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper discusses localized equilibria which arise in copolymer-solvent mixtures. A free boundary problem associated with the sharp-interface limit of a density functional model is used to identify both lamellar and concentric domain patterns composed of a finite number of layers. Stability of these morphologies is studied through explicit linearization of the free boundary evolution.For the multilayered lamellar configuration, transverse instability is observed for sufficiently small dimensionless interfacial energies. Additionally, a crossover between small and large wavelength instabilities is observed depending on whether solvent-polymer or monomer-monomer interfacial energy is dominant.Concentric domain patterns resembling multilayered micelles and vesicles exhibit bifurcations wherein they only exist for sufficiently small dimensionless interfacial energies. The bifurcation of large radii vesicle solutions is studied analytically, and a crossover from a supercritical case with only one solution branch to a subcritical case with two is observed. Linearized stability of these configurations shows that azimuthal perturbation may lead to instabilities as interfacial energy is decreased.

Original languageEnglish (US)
JournalPhysica D: Nonlinear Phenomena
DOIs
StateAccepted/In press - Jan 1 2018

Fingerprint

interfacial energy
copolymers
free boundaries
crossovers
monomers
linearization
configurations
micelles
perturbation
radii
polymers
wavelengths

Keywords

  • Block copolymer
  • Concentric domain patterns
  • Multidimensional stability

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Cite this

Multidimensional equilibria and their stability in copolymer-solvent mixtures. / Glasner, Karl B; Orizaga, Saulo.

In: Physica D: Nonlinear Phenomena, 01.01.2018.

Research output: Contribution to journalArticle

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