We explore magnetic-field-induced ordering and microphase separation of aqueous ferrofluid and of aqueous mixtures of ferrofluid with nonmagnetic latex spheres. The ferrofluid is a surfactant stabilized aqueous suspension of magnetite $\left({\mathrm{Fe}}_3{\mathrm{O}}_4\right)$ particles with average diameter 20 nm (including the $\sim 2.5-\mathrm{nm}$ thick surfactant layer); the nonmagnetic latex spheres are charge stabilized polymethylmethacrylate (PMMA) particles with diameters of 42 nm, 108 nm, and 220 nm. In the presence of a uniform magnetic field, needlelike ferrofluid droplets formed that eventually grew to sample-traversing columns at fields of $\sim 600\mathrm{G};$ the two-dimensional structure of these columns was, however, glassy rather than hexagonal. In higher fields, $\sim 1000\mathrm{G},$ the columns stretched and coalesced into sheetlike striped liquids, but a true lamellar phase was not observed. The addition of nonmagnetic latex spheres to the ferrofluid suspension lowered substantially the critical field for the formation of columns, and induced lamellar (stripe) phases at relatively low applied fields. Image analysis was used to determine the spatial correlation functions, the average needle or column spacing, and the average lamellae spacing of these samples as a function of latex sphere size and concentration.

• Received 24 September 2002

DOI:https://doi.org/10.1103/PhysRevE.67.021402