耦合圆映射中抑制-激发耦合随机切换的有向逾渗临界性
Directed percolation criticality due to Stochastic switching between Inhibitory and Excitatory Coupling in Coupled Circle maps
摘要：
我们研究了一个晶格模型，其中耦合随机开关之间的排斥（减法）和吸引力（加法）在每个站点的概率p在每个时刻。我们观察到，这种耦合稳定的局部不动点的圆映射，与由此产生的全局稳定的吸引子提供了一个独特的吸收状态。有趣的是，观察到一个连续的相变从吸收状态的时空混沌通过时空的不稳定性的范围内的值的p。有趣的是，注意到的过渡属于类的定向渗流。静态和扩展指数以及相关的标度律被发现遵守确认定向渗流普适类的时空不稳定性制度。
英文摘要：
We study a lattice model where the coupling stochastically switches between repulsive (subtractive) and attractive (additive) at each site with probability p at every time instance. We observe that such kind of coupling stabilizes the local fixed point of a circle map, with the resultant globally stable attractor providing a unique absorbing state. Interestingly, a continuous phase transition is observed from the absorbing state to spatiotemporal chaos via spatiotemporal intermittency for a range of values of p. It is interesting to note that the transition falls in class of directed percolation. Static and spreading exponents along with relevant scaling laws are found to be obeyed confirming the directed percolation universality class in spatiotemporal intermittency regime.
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