Science Advances

Supplementary Materials

The PDF file includes:

  • Fig. S1. Experimentally obtained probability distribution of the hexagonal bond-orientational order parameter ∣ψ6∣ in the spinner lattices at ρ = ~0.006 σ−2 as a function of the field frequency.
  • Fig. S2. The probability distribution function of the hexagonal bond-orientational order parameter ∣ψ6∣ in the spinner lattices at ρ = ~0.018 σ−2 as obtained in simulations.
  • Fig. S3. Displacement statistics of passive cargo particles transported by a dynamic spinner lattices at t = 1.5 s.
  • Legends for movies S1 to S7

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Other Supplementary Material for this manuscript includes the following:

  • Movie S1 (.avi format). Velocity, streamlines, and vorticity flow fields induced by synchronous spinners at a surface of water, as obtained in experiments.
  • Movie S2 (.avi format). A self-organized spinner lattice, as obtained in experiments.
  • Movie S3 (.avi format). A vigorous vortical flow field in a spinner crystal, as obtained in experiments.
  • Movie S4 (.avi format). Self-healing of a local order in a spinner ensemble.
  • Movie S5 (.avi format). Active transport of a 500-μm glass bead facilitated by a spinner lattice, as obtained in experiments.
  • Movie S6 (.mov format). Self-organized spinner lattice and active transport of a small tracer particle of diamter σ, as obtained in simulations.
  • Movie S7 (.mov format). Active transport of a large tracer particle of diamter 5σ in a lattice of fixed-length spinners, as obtained in simulations.

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