Critical properties of non-equilibrium systems without global currents: Ising models at two temperatures

The authors study two two-dimensional Ising models with a non-Hamiltonian spin dynamics. The models consist of two sublattices at different temperatures. The steady state properties are investigated by means of Monte Carlo simulations on the Delft Ising System Processor. They find that the phase transition between the disordered and ordered phases persists when a temperature difference between the sublattices is introduced. The critical properties of these non-equilibrium systems fit well within the Ising universality class.