Disorder fosters chimera in an array of motile particles,Physical Review E

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Disorder fosters chimera in an array of motile particles
Physical Review E ( IF 2.2 ) Pub Date : 2021-09-07 , DOI: 10.1103/physreve.104.034205
L A Smirnov _{1,

2} , M I Bolotov ₁ , G V Osipov ₁ , A Pikovsky _{1,

3}

Affiliation

We consider an array of nonlocally coupled oscillators on a ring, which for equally spaced units possesses a Kuramoto–Battogtokh chimera regime and a synchronous state. We demonstrate that disorder in oscillators positions leads to a transition from the synchronous to the chimera state. For a static (quenched) disorder we find that the probability of synchrony survival depends on the number of particles, from nearly zero at small populations to one in the thermodynamic limit. Furthermore, we demonstrate how the synchrony gets destroyed for randomly (ballistically or diffusively) moving oscillators. We show that, depending on the number of oscillators, there are different scalings of the transition time with this number and the velocity of the units.

中文翻译：

紊乱在一系列运动粒子中促进嵌合体

我们考虑一个环上的非局部耦合振荡器阵列，对于等距的单元，它具有 Kuramoto-Battogtokh 嵌合体机制和同步状态。我们证明了振荡器位置的无序会导致从同步状态过渡到嵌合状态。对于静态（淬灭）无序，我们发现同步存活的概率取决于粒子的数量，从小群体的近零到热力学极限的 1。此外，我们演示了随机（弹道或扩散）移动振荡器的同步性如何被破坏。我们表明，根据振荡器的数量，过渡时间与这个数量和单位的速度有不同的比例。

更新日期：2021-09-08

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