Order-by-disorder in classical oscillator systems
Order-by-disorder in classical oscillator systems
复制标题
经典振荡器系统中的无序排序
DOI：
10.1140/epjb/e2013-40998-8
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
H. Meyer-Ortmanns
中科院分区：
文献类型：
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作者：
F. Ionita;D. Labavic;M. Zaks;H. Meyer-Ortmanns
我们考虑六角晶格上的经典非线性振子。当元素之间的耦合是排斥的，我们观察到共存的状态，每一个都有自己的吸引盆。这些状态的不同之处在于它们的同步程度和锁相运动的模式。当无序引入到系统中的加性或乘性高斯噪声，我们观察到一个非单调依赖的程度，在系统中的顺序作为噪声强度的函数：间隔的噪声强度与振荡器之间的低同步交替的间隔，更多的振荡器同步。在后一种情况下，噪声在更大数量的几乎重合的相位的意义上引起更高程度的阶。这种有序无序效应让人联想到自旋系统中的类似现象。令人惊讶的是，这种非单调的演化程度的秩序不仅被发现为一个单一的间隔的中间噪声强度，但反复作为一个函数的噪声强度增加。我们观察到噪声驱动的振荡器相位迁移在一个粗略的潜在景观。
We consider classical nonlinear oscillators on hexagonal lattices. When the coupling between the elements is repulsive, we observe coexisting states, each one with its own basin of attraction. These states differ by their degree of synchronization and by patterns of phase-locked motion. When disorder is introduced into the system by additive or multiplicative Gaussian noise, we observe a non-monotonic dependence of the degree of order in the system as a function of the noise intensity: intervals of noise intensity with low synchronization between the oscillators alternate with intervals where more oscillators are synchronized. In the latter case, noise induces a higher degree of order in the sense of a larger number of nearly coinciding phases. This order-by-disorder effect is reminiscent to the analogous phenomenon known from spin systems. Surprisingly, this non-monotonic evolution of the degree of order is found not only for a single interval of intermediate noise strength, but repeatedly as a function of increasing noise intensity. We observe noise-driven migration of oscillator phases in a rough potential landscape.