Hydrodynamic interactions in two dimensions

Di Leonardo, R., Keen, S., Ianni, F., Leach, J., Padgett, M.J. and Ruocco, G. (2008) Hydrodynamic interactions in two dimensions. Physical Review E, 78(3), (doi: 10.1103/PhysRevE.78.031406)

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We measure hydrodynamic interactions between colloidal particles confined in a thin sheet of fluid. The reduced dimensionality, compared to a bulk fluid, increases dramatically the range of couplings. Using optical tweezers we force a two body system along the eigenmodes of the mobility tensor and find that eigen-mobilities change logarithmically with particle separation. At a hundred radii distance, the mobilities for correlated and anti-correlated motions differ by a factor of two, whereas in bulk fluids, they would be practically indistinguishable. We derive the two dimensional counterpart of the Oseen hydrodynamic tensor which quantitatively reproduces the observed behavior. These results highlight the importance of dimensionality for transport and interactions in colloidal systems and proteins in biological membranes.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Padgett, Professor Miles
Authors: Di Leonardo, R., Keen, S., Ianni, F., Leach, J., Padgett, M.J., and Ruocco, G.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review E
Journal Abbr.:Phys. Rev. E.
ISSN (Online):1550-2376

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