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More on wrinkled membranes

(A–E) The peaks (red) and valleys (blue) of wrinkles with relation to the underlying smectic order. As ξ2 increases, the wrinkles and smectic layers become more perpendicular. The membrane with the smallest ξ2=42 nm (A) has a wavelength of λ=385 nm, whereas the membranes with larger correlation lengths, ξ2=217 nm (B) and ξ2=244 nm (C), both have a wavelength of λ≈593 nm. (D) Similarly, the simulated membrane with ξ2=11 nm has an average wrinkle wavelength of 206 nm. The wrinkles are quite disordered on the length scale of the smectic order. (E) In the opposite limit, the orientational correlation length is much greater than the block copolymer period, ξ2=67 nm ≫ dsm=21 nm. (F) The tendency for the wrinkles to align perpendicular to the smectic with increasing ξ2 can be seen in this histogram. (G) In these membranes, the wrinkle wavelength q=2π/λ∼K1/kb‾‾‾‾‾√ scales as the square root of the ratio between the splay K1 and bend kb elastic constants.

From the same paper as the previous image;

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