J. Phys. II France
Volume 4, Numéro 4, April 1994
Page(s) 613 - 626
DOI: 10.1051/jp2:1994151
J. Phys. II France 4 (1994) 613-626

Fluctuations of compressible droplets: the role of surface excitations

A. V. Zvelindovsky and A. V. Zatovsky

Department of Theoretical Physics and Research Institute for Physica, I. I. Mechnikov Odessa State University, Petra Velikogo 2, Odessa 270100, Ukraine

(Received 9 May 1993, revised 6 January 1994, accepted 14 January 1994)

The thermal fluctuations of nearly spherical micelles are considered. The viscosity and compressibility of the surfactant layer and of the bulk fluids are taken into account as well as the bending energy. The dynamical equations for surface and bulk variables are the linearized hydrodynamic equations with random sources of stresses. Employing the fluctuation-dissipation theorem the spectral densities of fluctuations related with surface excitations were derived. The behaviour of the dynamical structure factor $S(k, \omega)$ is discussed for various droplet parameters.

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