• Medientyp: E-Artikel
  • Titel: Twist grain boundaries in cubic surfactant phases
  • Beteiligte: Belushkin, M. [Verfasser:in]; Gompper, G. [Verfasser:in]
  • Erschienen: American Institute of Physics, 2009
  • Erschienen in: The journal of chemical physics 130, 134712 (2009). doi:10.1063/1.3096987
  • Sprache: Englisch
  • DOI: https://doi.org/10.1063/1.3096987
  • ISSN: 0021-9606
  • Schlagwörter: surfactants ; free energy ; twist boundaries ; monolayers ; liquid crystals ; Ginzburg-Landau theory ; surface energy ; diamond
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  • Beschreibung: Twist grain boundaries in bicontinuous cubic surfactant phases are studied by employing a Ginzburg-Landau model of ternary amphiphilic systems. Calculations are performed on a discrete real-space lattice with periodic boundary conditions for the lamellar L(alpha), gyroid G, diamond D, and the Schwarz P phases for various twist angles. An isosurface analysis of the scalar order parameter reveals the structure of the surfactant monolayer at the interfaces between the oil-rich and water-rich regions. The curvature distributions show that the grain boundaries are minimal surfaces. The interfacial free energy per unit area is determined as a function of the twist angle for the G, D, P, and lamellar phases using two complementary approaches: the Ginzburg-Landau free-energy functional and a geometrical approach based on the curvature energy of a monolayer. For the L(alpha), G, and D phases the interfacial free energy per unit area is very small, has the same order of magnitude, and exhibits a nonmonotonic dependence on the twist angle. The P phase is found to be unstable with respect to the nucleation of grain boundaries.
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