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In this work, we use structure and dynamics in sedimentation equilibrium, inthe presence of gravity, to examine, $via$ confocal microscopy, a Browniancolloidal system in the presence of an external electric field. The zero fieldequation of state (EOS) is hard sphere without any re-scaling of particle size,and the hydrodynamic corrections to the long-time self-diffusion coefficientare quantitatively consistent with the expected value for hard spheres. Care istaken to ensure that both the dimensionless gravitational energy, which isequivalent to a Peclet number $Pe_g$, and dipolar strength $\Lambda$ are oforder unity. In the presence of an external electric field, anisotropicchain-chain clusters form; this cluster formation manifests itself with theappearance of a plateau in the diffusion coefficient when the dimensionlessdipolar strength $\Lambda \sim 1$. The structure and dynamics of thischain-chain cluster state is examined for a monodisperse system for twoparticle sizes.

Clusters in sedimentation equilibrium for an experimental hard-sphere-plus-dipolar Brownian colloidal system