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arXiv 1303.3577nlin.CDphysics.data-an
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间歇性引起的长程互相关

Intermittency induced long-range cross-correlations

Fotis K. Diakonos, Alexandros K. Karlis, Peter Schmelcher

摘要:

互相关通常被认为是通过粒子之间的相互作用而出现的。在这里,我们提出了一种机制,能够产生幂律之间的相互作用的粒子暴露于外部电位的交叉相关。这种现象可以发生作为一个合奏的财产时,外部潜在的诱导间歇动力学,提供层流和随机阶段的运动。我们有强烈的迹象表明,在层流阶段的单粒子运动的平均停留时间的发散-零星的动力学-是一个充分的条件出现的长程互相关。我们认为,这种机制可能是相关的集体行为的发生在关键系统。

英文摘要:

Cross-correlations are usually considered to emerge through interaction between particles. Here we present a mechanism capable to generate power-law cross-correlations between non-interacting particles exposed to an external potential. This phenomenon can occur as an ensemble property when the external potential induces intermittent dynamics, providing laminar and stochastic phases of motion. We have strong indications that the divergence of the mean residence time in the laminar phase of the single particle motion - sporadic dynamics - is a sufficient condition for the emergence of long-range cross-correlations. We argue that this mechanism may be relevant for the occurrence of collective behaviour in critical systems.

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