Glassy states and super-relaxation in populations of coupled phase oscillators

被引:47
|
作者
Iatsenko, D. [1 ]
McClintock, P. V. E. [1 ]
Stefanovska, A. [1 ]
机构
[1] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England
来源
NATURE COMMUNICATIONS | 2014年 / 5卷
基金
英国工程与自然科学研究理事会;
关键词
ORDER-PARAMETER; KURAMOTO MODEL; DYNAMICS; SYNCHRONIZATION; ENTRAINMENT;
D O I
10.1038/ncomms5118
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页数:11
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