Fig. 2: Disappearance of medium-range order and the dynamical transition between a liquid-like to gas-like phase. | Communications Physics

Fig. 2: Disappearance of medium-range order and the dynamical transition between a liquid-like to gas-like phase.

From: Experimental observation of gapped shear waves and liquid-like to gas-like dynamical crossover in active granular matter

Fig. 2

a The pair distribution functions g(r). b The normalized velocity auto-correlation functions (VACF). c The mean square displacement (MSD) of particles. d The second derivative of MSD with respect to time. Here, the values of MSD are properly normalized using 2Z(0), where Z(t) is defined in (3). In panels (a–d), the same set of packing fractions ϕ is chosen following the color scheme described in the legend in (d).

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