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Trapping of swimmers in a vortex lattice.
Chaos. 2020 Jun; 30(6):063121.C

Abstract

We examine the motion of rigid, ellipsoidal swimmers subjected to a steady vortex flow in two dimensions. Numerical simulations of swimmers in a spatially periodic array of vortices reveal a range of possible behaviors, including trapping inside a single vortex and motility-induced diffusion across many vortices. While the trapping probability vanishes at a sufficiently high swimming speed, we find that it exhibits surprisingly large oscillations as this critical swimming speed is approached. Strikingly, at even higher swimming speeds, we find swimmers that swim perpendicular to their elongation direction can again become trapped. To explain this complex behavior, we investigate the underlying swimmer phase-space geometry. We identify the fixed points and periodic orbits of the swimmer equations of motion that regulate swimmer trapping inside a single vortex cell. For low to intermediate swimming speeds, we find that a stable periodic orbit surrounded by invariant tori forms a transport barrier to swimmers and can trap them inside individual vortices. For swimming speeds approaching the maximum fluid speed, we find instead that perpendicular swimmers can be trapped by asymptotically stable fixed points. A bifurcation analysis of the stable periodic orbit and the fixed points explains the complex and non-monotonic breakdown and re-emergence of swimmer trapping as the swimmer speed and shape are varied.

Authors+Show Affiliations

Department of Physics, University of California, Merced, Merced, California 95344, USA.Department of Physics, University of California, Merced, Merced, California 95344, USA.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

32611071

Citation

Berman, Simon A., and Kevin A. Mitchell. "Trapping of Swimmers in a Vortex Lattice." Chaos (Woodbury, N.Y.), vol. 30, no. 6, 2020, p. 063121.
Berman SA, Mitchell KA. Trapping of swimmers in a vortex lattice. Chaos. 2020;30(6):063121.
Berman, S. A., & Mitchell, K. A. (2020). Trapping of swimmers in a vortex lattice. Chaos (Woodbury, N.Y.), 30(6), 063121. https://doi.org/10.1063/5.0005542
Berman SA, Mitchell KA. Trapping of Swimmers in a Vortex Lattice. Chaos. 2020;30(6):063121. PubMed PMID: 32611071.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Trapping of swimmers in a vortex lattice. AU - Berman,Simon A, AU - Mitchell,Kevin A, PY - 2020/7/3/entrez SP - 063121 EP - 063121 JF - Chaos (Woodbury, N.Y.) JO - Chaos VL - 30 IS - 6 N2 - We examine the motion of rigid, ellipsoidal swimmers subjected to a steady vortex flow in two dimensions. Numerical simulations of swimmers in a spatially periodic array of vortices reveal a range of possible behaviors, including trapping inside a single vortex and motility-induced diffusion across many vortices. While the trapping probability vanishes at a sufficiently high swimming speed, we find that it exhibits surprisingly large oscillations as this critical swimming speed is approached. Strikingly, at even higher swimming speeds, we find swimmers that swim perpendicular to their elongation direction can again become trapped. To explain this complex behavior, we investigate the underlying swimmer phase-space geometry. We identify the fixed points and periodic orbits of the swimmer equations of motion that regulate swimmer trapping inside a single vortex cell. For low to intermediate swimming speeds, we find that a stable periodic orbit surrounded by invariant tori forms a transport barrier to swimmers and can trap them inside individual vortices. For swimming speeds approaching the maximum fluid speed, we find instead that perpendicular swimmers can be trapped by asymptotically stable fixed points. A bifurcation analysis of the stable periodic orbit and the fixed points explains the complex and non-monotonic breakdown and re-emergence of swimmer trapping as the swimmer speed and shape are varied. SN - 1089-7682 UR - https://www.unboundmedicine.com/medline/citation/32611071/Trapping_of_swimmers_in_a_vortex_lattice L2 - https://doi.org/10.1063/5.0005542 DB - PRIME DP - Unbound Medicine ER -
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