Sonawane Abhijeet R
Centre for Modeling and Simulation, University of Pune, Pune 411 007, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 May;81(5 Pt 2):056206. doi: 10.1103/PhysRevE.81.056206. Epub 2010 May 18.
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 instant. We observe that such a 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.
我们研究一种晶格模型,其中在每个时刻,耦合以概率(p)在每个位点上随机地在排斥(减法)和吸引(加法)之间切换。我们观察到,这种耦合稳定了圆映射的局部不动点,由此产生的全局稳定吸引子提供了一个唯一的吸收态。有趣的是,对于一系列(p)值,通过时空间歇性观察到从吸收态到时空混沌的连续相变。值得注意的是,该相变属于定向渗流类别。发现静态和传播指数以及相关的标度律得到遵守,证实了时空间歇性区域中的定向渗流普适类。