Hexatic Undulations in Curved Geometries
Abstract
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.
Cite
@article{arxiv.cond-mat/0211140,
title = {Hexatic Undulations in Curved Geometries},
author = {Peter Lenz and David R. Nelson},
journal= {arXiv preprint arXiv:cond-mat/0211140},
year = {2009}
}
Comments
42 pages, 7 figures; References added and minor revisions; to appear in Phys. Rev. E