Transitions and transport for a spatially periodic stochastic system with locally coupled oscillators.
In this paper, with a special model, we investigate the spatially periodic stochastic system with locally coupled oscillators subject to a constant force F. A nonequilibrium second-order phase transition is found when F=0. This phase transition is reentrant when the additive noise is weak. With varying the constant force F, a continuous or discontinuous transition between the states with positive and negative mean fields (mu>0 and mu<0) is observed, which is not a phase transition. The mean field or current sometimes exhibits hysteresis as a function of F. With the variation of the force F, when hysteresis of the mean field or current versus F appears, a nonzero probability current with definite direction will occur at the point F=0. The correlation between the additive and multiplicative noises has an effect on the transitions and the transport.
Zhao
Ying-Kui
YK
Graduate School of China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, China.
Li
Jing-hui
JH
Zhao
Xian-geng
XG
D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D001693:Biological Transport, Active / Q000502:physiology*; D003198:Computer Simulation; D004058:Diffusion; D005246:Feedback / Q000502:physiology; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D009991:Oscillometry / Q000379:methods*; D010507:Periodicity; D013269:Stochastic Processes; D013314:Stress, Mechanical