Glassy states and super-relaxation in populations of coupled phase oscillators.
Glassy states and super-relaxation in populations of coupled phase oscillators.
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DOI：
10.1038/ncomms5118
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发表时间：
2014-06-20
影响因子：
16.6
通讯作者：
Stefanovska, A.
中科院分区：
文献类型：
--
作者：
Iatsenko, D.;McClintock, P. V. E.;Stefanovska, A.
大型耦合振荡器网络出现在科学的许多分支中，因此它们所表现出的现象不仅具有内在的兴趣，而且具有非常广泛的重要性。 1975 年，Kuramoto 提出了一种分析上易于处理的模型来描述这些系统，该模型已成功应用于许多环境中，并且仍然是深入研究的主题。然而，一些相关问题几十年来仍然不清楚，例如振荡器玻璃态的存在和性质。在这里，我们对仓本模型的一般形式进行了详细分析。特别是，我们发现了它可以表现出玻璃行为的条件，这代表了当前情况下的一种同步无序。此外，我们发现了一种新的、有趣的现象，我们称之为超级松弛，即振荡器在松弛到不连贯的同时根本感觉不到相互作用。我们的研究结果提供了在真实系统中创建玻璃态和观察超松弛的可能性。 Kuramoto 模型试图描述耦合振荡器网络的行为和属性。通过研究原始 Kuramoto 模型的推广，Latsenko 等人。识别出可能出现在此类网络中的几种以前未见过的复杂现象。
Large networks of coupled oscillators appear in many branches of science, so that the kinds of phenomena they exhibit are not only of intrinsic interest but also of very wide importance. In 1975, Kuramoto proposed an analytically tractable model to describe these systems, which has since been successfully applied in many contexts and remains a subject of intensive research. Some related problems, however, remain unclarified for decades, such as the existence and properties of the oscillator glass state. Here we present a detailed analysis of a very general form of the Kuramoto model. In particular, we find the conditions when it can exhibit glassy behaviour, which represents a kind of synchronous disorder in the present case. Furthermore, we discover a new and intriguing phenomenon that we refer to as super-relaxation where the oscillators feel no interaction at all while relaxing to incoherence. Our findings offer the possibility of creating glassy states and observing super-relaxation in real systems. The Kuramoto model attempts to describe the behaviour and properties of networks of coupled oscillators. By studying a generalization of the original Kuramoto model, Latsenko et al. identify several previously unseen complex phenomena that can appear in such networks.
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