Swarmalators种群中的偶联障碍
Coupling disorder in a population of swarmalators
摘要：
我们考虑一群具有随机耦合的二维振子，并探讨其集体态。振子之间的耦合强度被随机地猝灭为两个值，其中一个是正的，而另一个是负的，并且振子可以根据相位和位置的状态变量在空间上{ \it{move} }。我们发现，当正耦合数与总耦合数之比适当时，系统会发生从非相干态到完全同步态的相变。阈值的数值测量，并分析预测的线性稳定性分析的完全同步状态。结果表明，随机耦合导致了恒定强度下的长时态斑图。振荡器移动到随机淬火耦合工作的地方，就像退火一样。我们进一步观察到，淬火耦合的混合随机性的系统显示了每个退火平均值可理解的变形模式的组合。
英文摘要：
We consider a population of two-dimensional oscillators with random couplings, and explore the collective states. The coupling strength between oscillators is randomly quenched with two values one of which is positive while the other is negative, and the oscillators can spatially {\it{move}} depending on the state variables for phase and position. We find that the system shows the phase transition from the incoherent state to the fully synchronized one at a proper ratio of the number of positive couplings to the total. The threshold is numerically measured, and analytically predicted by the linear stability analysis of the fully synchronized state. It is found that the random couplings induces the long-term state patterns appearing for constant strength. The oscillators move to the places where the randomly quenched couplings work as if annealed. We further observe that the system with mixed randomnesses for quenched couplings shows the combination of the deformed patterns understandable with each annealed averages.
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