TY - JOUR AU - Belushkin, M. AU - Gompper, G. TI - Twist grain boundaries in cubic surfactant phases JO - The journal of chemical physics VL - 130 SN - 0021-9606 CY - Melville, NY PB - American Institute of Physics M1 - PreJuSER-4228 SP - 134712 PY - 2009 N1 - Record converted from VDB: 12.11.2012 AB - 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. KW - J (WoSType) LB - PUB:(DE-HGF)16 C6 - pmid:19355769 UR - <Go to ISI:>//WOS:000265053200060 DO - DOI:10.1063/1.3096987 UR - https://juser.fz-juelich.de/record/4228 ER -