No many-scallop theorem: Collective locomotion of reciprocal swimmers

dc.creatorLauga, Eric
dc.creatorBartolo, Denis
dc.date2008-05-05
dc.date.accessioned2026-07-07T10:06:31Z
dc.date.available2026-07-07T10:06:31Z
dc.descriptionTo 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. We show here that 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.
dc.identifierhttps://arxiv.org/abs/0805.0493
dc.identifierhttp://arxiv.org/abs/0805.0493
dc.identifierPhys. Rev. E (2008) 78, 030901
dc.identifierdoi:10.1103/PhysRevE.78.030901
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170353
dc.subjectSoft Condensed Matter
dc.subjectBiological Physics
dc.subjectFluid Dynamics
dc.titleNo many-scallop theorem: Collective locomotion of reciprocal swimmers
dc.typetext

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