Science Advances

Supplementary Materials

The PDF file includes:

  • Section S1. Derivation of the dynamic mean-field theory for 2D system of circle active particles.
  • Section S2. Linear stability analysis.
  • Section S3. Calculation of So(q) for system with CMC.
  • Section S4. Effect of thermal noise on So(q).
  • Fig. S1. Finite-size effect on the long-time diffusion coefficient D as a function of packing fraction ϕ for systems with R = 1.75σ.
  • Fig. S2. Structural comparison of active and absorbing state at R = 10σ near the critical point ϕc = 0.0194.
  • Fig. S3. Structure factor S(q) for large systems with different R at φ = 0.4 and TR = 0.
  • Fig. S4. Hyperunifomity in an experimentally realizable system (26) with bimodal circling-phase distribution.

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Other Supplementary Material for this manuscript includes the following:

  • Movie S1 (.mp4 format). Active state in Fig. 1C.
  • Movie S2 (.mp4 format). Absorbing state in Fig. 1D.
  • Movie S3 (.mp4 format). Active state with R = 1000σ in Fig. 2G.
  • Movie S4 (.mp4 format). Active state with R = 100σ in Fig. 2G.
  • Movie S5 (.mp4 format). Active state with R = 50σ in Fig. 2G.
  • Movie S6 (.mp4 format). Active state with R = 25σ in Fig. 2G.
  • Movie S7 (.mp4 format). Active state with R = 23σ in Fig. 2G.

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