Through large-scale computer simulations, we investigated the critical behavior of an off-lattice two-dimensional model of active particles undergoing motility-induced phase separation, and found that it belongs to the Ising universality class. We also studied the critical behavior of the kinetic temperature difference between the two active phases, which exhibited a behavior consistent with mean-field theory.
We perform large-scale computer simulations of an off-lattice two-dimensional model of active particles undergoing a motility-induced phase separation (MIPS) to investigate the system's critical behaviour close to the critical point of the MIPS curve. By sampling steady-state configurations for large system sizes and performing finite size scaling analysis we provide exhaustive evidence that the critical behaviour of this active system belongs to the Ising universality class. In addition to the scaling observables that are also typical of passive systems, we study the critical behaviour of the kinetic temperature difference between the two active phases. This quantity, which is always zero in equilibrium, displays instead a critical behavior in the active system which is well described by the same exponent of the order parameter in agreement with mean-field theory.
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