Session LL: Bio-Fluids: Wakes and Mixing I

3:35 PM–5:58 PM, Monday, November 24, 2008
Room: 103A

Chair: Michael Plesniak, George Washington University/Purdue University

Abstract ID: BAPS.2008.DFD.LL.11

Abstract: LL.00011 : No many-scallop theorem: Collective locomotion of reciprocal swimmers

5:45 PM–5:58 PM

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Authors:

  Denis Bartolo
    (ESPCI)

  Eric Lauga
    (UCSD)

To achieve propulsion at low Reynolds number, a swimmer must deform in a way that is not invariant under time-reversal symmetry; this result is known as the scallop theorem. However, there is no many-scallop theorem. We demonstrate that two active particles undergoing reciprocal deformations can swim collectively; moreover, polar particles also experience effective long-range interactions. These results are derived for a minimal dimers model, and generalized to more complex geometries on the basis of symmetry and scaling arguments. We explain how such cooperative locomotion can be realized experimentally by shaking a collection of soft particles with a homogeneous external field.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2008.DFD.LL.11