Science Advances

Supplementary Materials

This PDF file includes:

  • Particle leakage through the funnels
  • Rectification mechanism
  • Particle-resolved simulations
  • Numerical solution of the continuum model
  • Fig. S1. Steady-state density profiles for funnel-wall systems with the funnel
    particles either mobile or fixed.
  • Fig. S2. Local polarization around a sawtooth-shaped speed profile, obtained from particle-resolved simulations and the continuum model.
  • Fig. S3. Polarization profiles obtained from the continuum model with w2 = 0 and w2 > 0.
  • Fig. S4. Propulsion speed profiles used in simulations of “active circuits.”

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Other Supplementary Material for this manuscript includes the following:

  • Movie S1 (.mov format). Movie showing the self-assembly process of a single chevron-shaped obstacle.

Files in this Data Supplement: