Using neutron scattering, we investigate the structure at local scale
of very dilute solutions of a quasiternary surfactant system. For such
systems consisting of surfactant and cosurfactant in brine, a critica
l line is often found in the very dilute range of the phase diagram wh
ere the L3 sponge domain is continuously connected to the micellar dom
ain. Our purpose is to examine the evolution of the morphology of the
surfactant aggregates close to this critical line, Starting in the L3
sponge domain and approaching the transition Line, we find that the ne
utron scattering patterns deviate more and more from that of an infini
te bilayer. Furthermore, far away on the other side of the critical li
ne, the neutron scattering patterns reveal that the initial bilayers h
ave been replaced by long 1D cylindrical micelles. These findings are
discussed in terms of the two different mechanisms that have been cons
idered in the literature as being possibly at the origin of the critic
al behaviour: the symmetry breaking of the sponge and the spontaneous
tearing of the bilayer.