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Soft Matter and Biological Physics

Eur. Phys. J. E 4, 103-114

Dynamics of the swollen lamellar phase

T. Schilling1, O. Theissen1,2 and G. Gompper1,2.

1  Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany
2  Max-Planck-Institut für Kolloid- und Grenzflächenforschung, Am Mühlenberg, D-14476 Golm, Germany


(Received 7 December 1999 )

We investigate the dynamical behavior of lamellar phases in ternary amphiphilic systems of water, oil and amphiphile. The interaction between the amphiphilic monolayers is described by the steric interaction due to thermal fluctuations for uncharged, and by electrostatic interactions for charged systems. The dynamics of the system is determined by the hydrodynamics of the fluid layers. The basic parameters of our model are the viscosities of the two solvents, the average thicknesses of the oil and water layers, and the bending rigidity. The model allows to consider different monolayer interactions across the oil and water layers. Relaxation rates are calculated for arbitrary wave vectors parallel and perpendicular to the average monolayer plane. We find that there is a quite complex crossover behavior from a $q_\parallel^2$ law for small parallel wave vectors to a $q_\parallel^3$ law for large $q_\parallel$. We discuss the relevance of our result for the interpretation of dynamic light-scattering and neutron-spin-echo experiments for these systems.

47.55.-t - Nonhomogeneous flows.
68.10.-m - Fluid surfaces and fluid-fluid interfaces.
82.70.-y - Disperse systems.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2001