The autophoretic torus

Phoretic swimmers provide new avenues to study non-equilibrium statistical physics and are also hailed as a promising technology for bioengineering at the cellular scale. Exact solutions for the locomotion of such swimmers have been restricted so far to spheroidal shapes. In this paper we solve for the flow induced by the canonical non-simply connected shape, namely an axisymmetric phoretic torus. The analytical solution takes the form of an infinite series solution, which we validate against boundary element computations. For a torus of uniform chemical activity, confinement effects in the hole allow the torus to act as a pump, which we optimize subject to fixed particle surface area. Under the same constraint, we next characterize the fastest swimming Janus torus for a variety of assumptions on the surface chemistry. Perhaps surprisingly, none of the optimal tori occur in the limit where the central hole vanishes.

• Publication year

  2017

• Venue

  arXiv: Fluid Dynamics

• Publication date

  2017-02-02

• Fields of study

  Physics, Engineering

• Identifiers
  arXiv 1702.00574
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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  2007influential reference
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  2007influential reference
• Alternative separation of Laplace's equation in toroidal coordinates and its application to electrostatics

  2006cited by this paper
• Propulsion of a molecular machine by asymmetric distribution of reaction products.

  2005influential reference
• Catalytic nanomotors: autonomous movement of striped nanorods.

  2004cited by this paper
• Diffusiophoresis caused by gradients of strongly adsorbing solutes

  1991cited by this paper
• COLLOID TRANSPORT BY INTERFACIAL FORCES

  1989cited by this paper
• The stress system in a suspension of force-free particles

  1970cited by this paper
• The behaviour of clusters of spheres falling in a viscous fluid Part 1. Experiment

  1964cited by this paper
• Field Theory Handbook

  1961cited by this paper
• The Stokes flow problem for a class of axially symmetric bodies

  1960cited by this paper
• On Stokes flow about a torus

  1960influential reference
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  year unknowncited by this paper
• Handbuch der Kugelfunctionen

  year unknowncited by this paper
• Supplementary Information Supplementary Figures

  year unknowncited by this paper

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