We investigate, using quasi-elastic light scattering, some features of the
long-wavelength, low-frequency modes of the hexagonal phase often encounter
ed in the study of lyotropic (surfactant-solvent) systems. The hexagonal ph
ase is swollen bg an oil-based ferrofluid, allowing magnetically aligned sa
mples to be prepared. We show experimentally the anisotropy of the two lowe
st-frequency modes. We develop a model which predicts that these slow modes
are associated to particle diffusion and tube motion. With the help of mic
roscopic as well as phenomenological analyses: we suggest that the latter p
resumably corresponds tu a peristaltic mode. Confinement effects on the one
-dimensional, Brownian diffusion of the colloids along the tube axis togeth
er with the coupling between the two modes are studied experimentally, vary
ing the tube diameter to particle size ratio.