Abstract
We have studied transport of nano-sized colloidal particles dispersed in lyotropic lamellar phase of a nonionic surfactant over wide time scale by electrophoretic light scattering, dielectric spectroscopy and direct observation under a microscope. The temporal hierarchical structure is found in transport process of particles, which is not observed in water. The mechanism of transport process in lyotropic lamellar phase is discussed by their special hierarchical structures.