Finite-size effects in a population of interacting oscillators
Finite-size effects in a population of interacting oscillators
复制标题
相互作用振荡器群体中的有限尺寸效应
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
S. Ruffo
中科院分区：
文献类型：
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作者：
A. Pikovsky;S. Ruffo
我们考虑了大量的全球耦合噪声相位振荡器。在热力学极限N→`，该系统表现出一个非平衡相变，在此出现一个宏观平均场。结果表明，对于大而有限的系统尺寸N，系统可以用带噪声的Stuart-Landau方程来描述，得到了宏观平均场统计特性随N的标度行为.理论的预测进行了数值检验。@S1063-651X~99！03802-7#
We consider a large population of globally coupled noisy phase oscillators. In the thermodynamic limit N→` this system exhibits a nonequilibrium phase transition, at which a macroscopic mean field appears. It is shown that for large but finite system size N the system can be described by the noisy Stuart-Landau equation, yielding scaling behavior of statistical characteristics of the macroscopic mean field with N. The predictions of the theory are checked numerically. @S1063-651X~99!03802-7#