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000004228 084__ $$2WoS$$aPhysics, Atomic, Molecular & Chemical
000004228 1001_ $$0P:(DE-Juel1)VDB75398$$aBelushkin, M.$$b0$$uFZJ
000004228 245__ $$aTwist grain boundaries in cubic surfactant phases
000004228 260__ $$aMelville, NY$$bAmerican Institute of Physics$$c2009
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000004228 520__ $$aTwist grain boundaries in bicontinuous cubic surfactant phases are studied by employing a Ginzburg-Landau model of ternary amphiphilic systems. Calculations are performed on a discrete real-space lattice with periodic boundary conditions for the lamellar L(alpha), gyroid G, diamond D, and the Schwarz P phases for various twist angles. An isosurface analysis of the scalar order parameter reveals the structure of the surfactant monolayer at the interfaces between the oil-rich and water-rich regions. The curvature distributions show that the grain boundaries are minimal surfaces. The interfacial free energy per unit area is determined as a function of the twist angle for the G, D, P, and lamellar phases using two complementary approaches: the Ginzburg-Landau free-energy functional and a geometrical approach based on the curvature energy of a monolayer. For the L(alpha), G, and D phases the interfacial free energy per unit area is very small, has the same order of magnitude, and exhibits a nonmonotonic dependence on the twist angle. The P phase is found to be unstable with respect to the nucleation of grain boundaries.
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000004228 65320 $$2Author$$adiamond
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000004228 65320 $$2Author$$aGinzburg-Landau theory
000004228 65320 $$2Author$$aliquid crystals
000004228 65320 $$2Author$$amonolayers
000004228 65320 $$2Author$$asurface energy
000004228 65320 $$2Author$$asurfactants
000004228 65320 $$2Author$$atwist boundaries
000004228 7001_ $$0P:(DE-Juel1)130665$$aGompper, G.$$b1$$uFZJ
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