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Mixed surfactant systems with strongly bound counterions show manyinteresting phases such as the random mesh phase consisting of a disorderedarray of defects (water-filled nano-pores in the bilayers). The present studyaddresses the non-equilibrium phase transition of the random mesh phase undershear to an ordered mesh phase with a high degree of coherence betweennano-pores in three-dimension. In-situ small-angle synchrotron X-ray studyunder different shear stress conditions shows sharp Bragg peaks in the X-raydiffraction, successfully indexed to the rhombohedral lattice with R$\bar{3}$mspace group symmetry. The ordered mesh phase shows isomorphic twinning andbuckling at higher shear stress. Our experimental studies bring out richnon-equilibrium phase transitions in concentrated cationic surfactant systemswith strongly bound counterions hitherto not well-explored and providemotivation for a quantitative understanding.

Shear-induced ordering of nano-pores and instabilities in concentrated surfactant mesh phases