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Ballistic to diffusive transition for swimmers in a periodic vortex array.

Taylor J Whitney1, Kevin A Mitchell1

  • 1<a href="https://ror.org/00d9ah105">University of California Merced</a>, 5200 Lake Rd, Merced, California 95343, USA.

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|October 19, 2024
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Summary
This summary is machine-generated.

Slower swimming speeds in vortex arrays lead to faster ballistic transport, while faster speeds result in slower, chaotic transport. This counterintuitive finding reveals complex dynamics in microswimmer behavior.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Nonlinear Dynamics

Background:

  • Understanding microswimmer transport is crucial for applications in targeted drug delivery and micro-robotics.
  • Vortex arrays create complex flow patterns that significantly influence particle and swimmer dynamics.

Purpose of the Study:

  • To investigate the transport mechanisms of rigid ellipsoidal swimmers in a periodic vortex array.
  • To elucidate the relationship between swimming speed and transport behavior (ballistic vs. diffusive).

Main Methods:

  • Numerical simulations of swimmer trajectories.
  • Dynamical systems analysis using time-reversible Poincaré return maps.
  • Ensemble simulations to analyze transport statistics and robustness to noise.

Main Results:

  • Slower swimming speeds result in fast ballistic transport, characterized by stable periodic orbits and invariant tori.
  • Faster swimming speeds lead to chaotic and diffusive transport due to period-doubling bifurcations.
  • Ballistic transport is degraded by increasing rotational diffusion (noise).

Conclusions:

  • The study reveals a counterintuitive speed-transport relationship in periodic vortex arrays.
  • Dynamical systems analysis explains the transition from ballistic to diffusive transport.
  • Ballistic transport regimes may be observable in experimental settings.