Theory of Cylindrical Tubules and Helical Ribbons of Chiral Lipid Membranes

Details Theory of Cylindrical Tubules and Helical Ribbons of Chiral Lipid Membranes Theory of Cylindrical Tubules and Helical Ribbons of Chiral Lipid Membranes

1995-10-05

arxiv.org/abs/cond-mat/9510025v2

Phys. Rev. E 53, 3804 (1996)

Physics

Condensed Matter

43 pages, including 12 postscript figures, uses REVTeX 3.0 and epsf.sty

Scientific paper

10.1103/PhysRevE.53.3804

We present a general theory for the equilibrium structure of cylindrical tubules and helical ribbons of chiral lipid membranes. This theory is based on a continuum elastic free energy that permits variations in the direction of molecular tilt and in the curvature of the membrane. The theory shows that the formation of tubules and helical ribbons is driven by the chirality of the membrane. Tubules have a first-order transition from a uniform state to a helically modulated state, with periodic stripes in the tilt direction and ripples in the curvature. Helical ribbons can be stable structures, or they can be unstable intermediate states in the formation of tubules.

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