Enhanced Diffusion due to Active Swimmers at a Solid Surface

Gastón Miño, Thomas E. Mallouk, Thierry Darnige, Mauricio Hoyos, Jeremi Dauchet, Jocelyn Dunstan, Rodrigo Soto, Yang Wang, Annie Rousselet, and Eric Clement
Phys. Rev. Lett. 106, 048102 – Published 25 January 2011

Abstract

We consider two systems of active swimmers moving close to a solid surface, one being a living population of wild-type E. coli and the other being an assembly of self-propelled Au-Pt rods. In both situations, we have identified two different types of motion at the surface and evaluated the fraction of the population that displayed ballistic trajectories (active swimmers) with respect to those showing randomlike behavior. We studied the effect of this complex swimming activity on the diffusivity of passive tracers also present at the surface. We found that the tracer diffusivity is enhanced with respect to standard Brownian motion and increases linearly with the activity of the fluid, defined as the product of the fraction of active swimmers and their mean velocity. This result can be understood in terms of series of elementary encounters between the active swimmers and the tracers.

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  • Received 1 September 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.048102

© 2011 American Physical Society

Authors & Affiliations

Gastón Miño1, Thomas E. Mallouk2, Thierry Darnige1, Mauricio Hoyos1, Jeremi Dauchet1, Jocelyn Dunstan3, Rodrigo Soto3, Yang Wang2, Annie Rousselet1, and Eric Clement1

  • 1PMMH, ESPCI, CNRS (UMR 7636) and Université Paris 6 and Paris 7, 10 rue Vauquelin, 75005 Paris, France
  • 2Department of Chemistry, The Pennsylvania State University, University Park, Pennsylvania, USA
  • 3Departmento de Física, FCFM, Universidad de Chile, Santiago, Chile

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Vol. 106, Iss. 4 — 28 January 2011

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