System with temporal-spatial noise

This paper investigates systems driven by temporal-spatial noise using two models, i.e., a spatially periodic model, and a model with infinite globally coupled oscillators. The study shows that, for the first model, the temporal-spatial noise has a stronger effect on the transport of particles than the usual additive and multiplicative noise; for the second model, the temporal-spatial noise can restrict the appearance of the symmetry-breaking nonequilibrium phase transition, in contrast with the case when the system is driven by the usual multiplicative noise.