Instability and Periodic Deformation in Bilayer Membranes Induced by Freezing

Details Instability and Periodic Deformation in Bilayer Membranes Induced by Freezing Instability and Periodic Deformation in Bilayer Membranes Induced by Freezing

1998-02-26

arxiv.org/abs/cond-mat/9802278v2

Modern Physics Letters B12 (1998) 147-154

Physics

Condensed Matter

Soft Condensed Matter

8 pages in Latex form, 1 Postscript figure. To be appear in Mod. Phys. Lett. B. 1998

Scientific paper

The instability and periodic deformation of bilayer membranes during freezing processes are studied as a function of the difference of the shape energy between the high and the low temperature membrane states. It is shown that there exists a threshold stability condition, bellow which a planar configuration will be deformed. Among the deformed shapes, the periodic curved square textures are shown being one kind of the solutions of the associated shape equation. In consistency with recent expe rimental observations, the optimal ratio of period and amplitude for such a texture is found to be approximately equal to (2)^{1/2}\pi.

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