Fig. 4: Critical-quench simulations.
From: Self-sustained patchy turbulence in shear-thinning active fluids

Evolution of the turbulence fraction Φ(t) after abruptly reducing the activity from a = 1.4 to values close to the critical point. For activities larger than the critical value, a > a*, Φ(t) saturates at a finite value, whereas for a < a*, Φ(t) decays to zero. At the critical activity, here a* ≈ 1.3875, we observe approximate power-law scaling, Φ(t) ∝ t−α, consistent with 2 + 1 directed percolation. This is indicated by the dashed black line, which represents the exponent of directed percolation αDP = 0.4505(10)50,59. The remaining parameters are ζ = 2, ν0 = 1.5ν∞, and n = 4. Error bars denote the standard error.