title: 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.
authors.affiliation: Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Peter
authors.initials: P
authors.lastname: Lenz
authors.forename: David R
authors.initials: DR
authors.lastname: Nelson