Zhao Ying-Kui, Li Jing-hui, Zhao Xian-geng
Graduate School of China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Sep;70(3 Pt 1):031113. doi: 10.1103/PhysRevE.70.031113. Epub 2004 Sep 30.
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.
在本文中，我们使用一个特殊模型研究了具有局部耦合振子且受恒定力F作用的空间周期性随机系统。当F = 0时，发现了一个非平衡二阶相变。当加性噪声较弱时，该相变是重入的。随着恒定力F的变化，观察到平均场为正和为负（μ>0和μ<0）的状态之间的连续或不连续转变，这不是一个相变。平均场或电流有时作为F的函数表现出滞后现象。随着力F的变化，当平均场或电流相对于F出现滞后时，在F = 0点将出现具有确定方向的非零概率流。加性噪声和乘性噪声之间的相关性对转变和输运有影响。
