2D to 3D transition in soap films demonstrated by microrheology

Details 2D to 3D transition in soap films demonstrated by microrheology 2D to 3D transition in soap films demonstrated by microrheology

2008-07-29

arxiv.org/abs/0807.4751v2

Phys. Rev. Lett. 102, 178302 (2009)

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 4 figures, resubmitted to PRL

Scientific paper

We follow the diffusive motion of colloidal particles of diameter $d$ in soap films of varying thickness $h$ with fluorescence microscopy. Diffusion constants are obtained both from one- and two-particle microrheological measurements of particle motion in these films. These diffusion constants are related to the surface viscosity of the interfaces comprising the soap films, by means of the Trapeznikov approximation [A. A. Trapeznikov, \emph{PICSA} (1957)] and Saffman's equation for diffusion in a 2D fluid. Unphysical values of the surface viscosity are found for thick soap films ($h/d > 7$), indicating a transition from 2D to 3D behavior.

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