The Effect of Shear Flow on the Helfrich Interaction in Lyotropic Lamellar Systems

Details The Effect of Shear Flow on the Helfrich Interaction in Lyotropic Lamellar Systems The Effect of Shear Flow on the Helfrich Interaction in Lyotropic Lamellar Systems

2002-08-08

arxiv.org/abs/cond-mat/0208174v1

European Physical Journal E 8 (2002) 485-497.

Physics

Condensed Matter

Soft Condensed Matter

14 pages, to appear in Eur Phys J E

Scientific paper

10.1140/epje/i2001-10109-4

We study the effect of shear flow on the entropic Helfrich interaction in lyotropic surfactant smectic fluids. Arguing that flow induces an effective anisotropic surface tension in bilayers due to a combination of intermonolayer friction, bilayer collisions and convection, we calculate the reduction in fluctuations and hence the renormalised change in effective compression modulus and steady-state layer spacing. We demonstrate that non-permeable or slowly permeating membranes can be susceptible to a undulatory instability of the Helfrich-Hurault type, and speculate that such an instability could be one source of a transition to multilamellar vesicles.

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