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Abstract
The effect of shear on a lyotropic lamellar phase is studied by the means of small-angle light scattering and direct microscopic observations. We found a complex behavior that can be described by a shear diagram. This diagram exhibits successively as a function of shear four different steady states. After a transition to a phase of monodisperse multilamellar vesicles with no long-range order there is a transition to the same vesicles exhibiting long-range order. At even higher shear rates, there is a transition between this ordered population of vesicles of size typically $1\ensuremath{\mu}\mathrm{m}$ to another ordered state made of vesicles which are much bigger (from 10 to $50\ensuremath{\mu}\mathrm{m}$).
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