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Shape and stability of two-dimensional lipid domains with dipole-dipole interactions
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View: Figures


Image of FIG. 1.
FIG. 1.

Schematic illustration of the shape of a monolayer domain, whose dipoles uniformly tilt along the direction with the same tilted angle . The geometric quantities describing its boundary curve are also shown, and is the thickness of the monolayer.

Image of FIG. 2.
FIG. 2.

Distribution of the circular and torus solutions of the equilibrium-shape equation Eq. (26). The lines and the curve are , , and , respectively.

Image of FIG. 3.
FIG. 3.

Calculation of equilibrium shapes grown from a circle to (a) a -symmetric triangle [Eq. (44)] by a tilted dipole force along the axis at the beginning of a compression and then to a tridomain structure illustrated in (b) with the increasing of the compression where the main domain, the distorted hexagon, is also an equilibrium shape predicted by theory [Eq. (46)]. In practical computation, (a) is obtained by simulating a solid domain observed in a racemic monolayer of DPPC (Fig. 1 in Ref. 27) and (c) by simulating its main domain. The latter makes us find the magic dipolar tilt and its physical meaning, a zero shape formation energy [Eq. (48)].


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Shape and stability of two-dimensional lipid domains with dipole-dipole interactions