Fig. 8: Spatial velocity correlations.
From: Motility-induced coexistence of a hot liquid and a cold gas
a–c Snapshot in the steady state, spatial velocity correlation function of passive particles (Eq. (6)), and velocity distribution of passive particles in the dense and the gas phase, respectively, for a simulation of N = 20 000 particles at xa = 0.90. The dashed and dotted lines in (b) denote the mean distance \(\bar{d}\) between passive particles obtained from a Voronoi tessellation in the dense phase (\(\bar{d} \, \approx \, 4.6\sigma\)) and in the gas phase (\(\bar{d} \, \approx \, 5.8\sigma\)), respectively. d–f Same as (a–c) but for a simulation of N = 100 000 particles at xa = 0.996. The mean distance between the passive particles denoted by the dashed and dotted line in (e) is \(\bar{d} \, \approx \, 41\sigma\) (liquid) and \(\bar{d} \, \approx \, 21\sigma\) (gas), respectively. All data has been averaged over time in the steady state. Simulation parameters: Pe = 400 (other parameters as in Fig. 2).
