Life around the scallop theorem

By Eric Lauga. 2010

199 citations recorded by the source corpus.

Locomotion on small scales is dominated by the effects of viscous forces and, as a result, is subject to strong physical and mathematical constraints. Following Purcell's statement of the scallop theorem which delimitates the types of swimmer designs which are not effective on small scales, we review the different ways the constraints of the theorem can be escaped for locomotion purposes.

Subfields: Aerospace Engineering, Biomedical Engineering, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/47c01f69d4a9e77f8cb1c6c60dda4249f0117560

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

In Biomedical Engineering

In Condensed Matter Physics

Citations in the corpus

Physics of microswimmers—single particle motion and collective behavior: a review (2014, background): “Alternatively, a more general linear unsteady Stokes equation can be adopted to describe the fluid properties (Lauga, 2011; Theers and Winkler, 2013).”
Optimal feeding is optimal swimming for all P\'eclet numbers (2011, background): “In order to swim in a viscous fluid, a microorganism must undergo sequences of active and non-time-reversible deformations of its body surface [13, 14].”
Realizing the physics of motile cilia synchronization with driven colloids (2015, background): “ give a very low Reynolds number. Hydrodynamic coupling is an important feature in various biological ows, with key consequences in apparently diverse phenomena such as the motility of microorganisms (41, 50, 56, 60, 80, 81, 121), circulation in the brain (11) and functioning of the ear (79). In man”
Tuned, driven, and active soft matter (2015, background): “Furthermore, the swimmer must provide a suitable mechanism to break the symmetry and achieve a net forward motion [513].”
Beneath Our Feet: Strategies for Locomotion in Granular Media (2015, background): “The agreement between theory and experiment also implies that a scallop theorem should exist for regime II granular locomotion, a topic that should be investigated further in light of recent theoretical insights (Lauga 2011).”