Fig. 7: Quantifying rewiring and the (local) density-order coupling in the k-nearest neighbor interaction (kNN).
From: Topological flocking models in spatially heterogeneous environments
The number of neighbors is k = 1 (a–c) and k = 6 (d–f). a, d The rewiring rate ν as a function of obstacle density ρo for different values of dynamical noise. Error bars represent the standard deviation of rewiring over different realizations of the obstacle field. Note that error bars are often comparable or smaller than the symbol size. b, e Local order rℓ versus local particle density ρℓ for different obstacle densities ρo (see “Methods” for details); the corresponding value of mutual information MI(ρℓ, rℓ) is also reported. c, f Mutual information MI(ρℓ, rℓ) versus dynamical noise and obstacle density. The dashed lines indicate the dynamical noise strength η = 0.35 used in (b, e), with points indicating the corresponding obstacle densities.
