Fig. 5: Radial rotational correlations.
From: Emergence of synchronised rotations in dense active matter with disorder
Visualising and quantifying the range of correlations in the rotational state of the individual active particles. Yellow to red colours indicate particles rotating anticlockwise, while light to blue colours correspond to clockwise rotations. Although the direction of the momentary velocities spreads over 360°, the direction of rotation is the same everywhere in panel (a), and it is in both directions in panel (c). Panels b and d display the level to which rotations are correlated. Values close to 1 (as in panel (b)) indicate that the probability that two particles being at a distance within 50 lattice units rotating in the same direction is close to one, i.e., the rotations are fully correlated over the region considered. The decaying feature of the rotational correlations in panel (d) is due to the fact that (1) there are both clockwise and anticlockwise extended regions in the system for this set of the parameter values as well as due to (2) taking a time average over the configurations in a long run of the corresponding simulations. The results are for 100 x 100 runs with parameters the same as in Table 1.
