title: Spatially periodic stochastic system with infinite globally coupled oscillators.
abstract: In this paper we study a spatially periodic stochastic system with infinite globally coupled oscillators driven by a constant force F. With two typical models we show that when F=0 there is a nonequilibrium transition between the state with zero mean field (s=0) and the state with nonzero mean field (s not equal 0). For model I, the transition is not a phase transition, while for the model II it is (second order). In addition, we find that for coupled oscillators driven only by additive noises, when F=0 a transport may emerge if the nonzero mean field breaks the symmetry of the systems. With varying F a continuous or discontinuous transition between state s>0 and state s<0 will appear. The mean field or current sometimes exhibits hysteresis as a function of F.
authors.affiliation: Lehrstuhl für Theoretische Physik I, Institut für Physik, Universität Augsburg, Universitässtrasse 1, D-86135 Augsburg, Germany.
authors.forename: J H
authors.initials: JH
authors.lastname: Li
authors.forename: P
authors.initials: P
authors.lastname: Hänggi