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Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions

机译:时空混沌作为吸收相变的同步:2 + 1维研究

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摘要

The synchronization transition between two coupled replicas of spatio-temporal chaotic systems in 2+1 dimensions is studied as a phase transition into an absorbing state-the synchronized state. Confirming the scenario drawn in (1+1)-dimensional systems, the transition is found to belong to two different universality classes-multiplicative noise (MN) and directed percolation (DP)-depending on the linear or nonlinear character of damage spreading occurring in the coupled systems. By comparing a coupled map lattice with two different stochastic models, accurate numerical estimates for MN in 2+1 dimensions are obtained. Finally, aiming to pave the way for future experimental studies, slightly non-identical replicas have been considered. It is shown that the presence of small differences between the dynamics of the two replicas acts as an external field in the context of absorbing phase transitions and can be characterized in terms of a suitable critical exponent.
机译:研究了时空混沌系统两个耦合副本之间2 + 1维之间的同步过渡,作为向吸收状态(同步状态)的相变。确认在(1 + 1)维系统中得出的情况,发现该过渡属于两个不同的通用性类别-乘性噪声(MN)和有向渗滤(DP)-取决于损伤扩散的线性或非线性特征耦合系统。通过将耦合的地图晶格与两个不同的随机模型进行比较,可以获得2 + 1维MN的精确数值估计。最后,为了为将来的实验研究铺平道路,已经考虑了稍微不同的复制品。结果表明,在吸收相变的情况下,两个复制品的动力学之间存在小的差异可作为外部场,并可以通过适当的临界指数来表征。

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