Fig. 3: Characterization of the dynamical active-inactive phase transition of kinetically constrained models.
From: Learning nonequilibrium statistical mechanics and dynamical phase transitions
The top, middle, and bottom panels are the 2D SE model, 2D FA model and 3D SEF model. a The dynamical activity kt(s) denoted by color reveals the phase transition versus time t and the counting field s, with L = 5 for 2D and L = 3 for 3D. b The critical point sc(N, t) over time, giving critical exponents α from sc(N) ~ N−α at the steady state (the horizontal dotted lines and the inset) and β from the finite-time scaling t−β (the black dashed line). c The scaled phase transition lines, with sc(N, t)/sc(N) and time scaled as Nαt−β, are collapsed together, indicating the proper scaling relation. Parameters: c = 0.5, L = 4, 5, 6 for 2D and L = 2, 3, 4 for 3D.
