Hexatic Undulations in Curved Geometries

Details Hexatic Undulations in Curved Geometries Hexatic Undulations in Curved Geometries

2002-11-07

arxiv.org/abs/cond-mat/0211140v2

Physics

Condensed Matter

Soft Condensed Matter

42 pages, 7 figures; References added and minor revisions; to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.67.031502

We discuss the influence of two-dimensional hexatic order on capillary waves and undulation modes in spherical and cylindrical geometries. In planar geometries, extended bond-orientational order has only a minor effect on the fluctuations of liquid surfaces or lipid bilayers. However, in curved geometries, the long-wavelength spectrum of these ripples is altered. We calculate this frequency shift and discuss applications to spherical vesicles, liquid metal droplets, bubbles and cylindrical jets coated with surface-active molecules, and to multielectron bubbles in liquid helium at low temperatures. Hexatic order also leads to a shift in the threshold for the fission instability of charged droplets and bubbles, and for the Plateau-Rayleigh instability of liquid jets.

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