Department of Physics, University of Illinois, 1110 West Green Street, Urbana, Illinois 61801, USA.
Phys Rev E. 2018 Apr;97(4-1):042219. doi: 10.1103/PhysRevE.97.042219.
We study avalanches in the Kuramoto model, defined as excursions of the order parameter due to ephemeral episodes of synchronization. We present scaling collapses of the avalanche sizes, durations, heights, and temporal profiles, extracting scaling exponents, exponent relations, and scaling functions that are shown to be consistent with the scaling behavior of the power spectrum, a quantity independent of our particular definition of an avalanche. A comprehensive scaling picture of the noise in the subcritical finite-N Kuramoto model is developed, linking this undriven system to a larger class of driven avalanching systems.
我们研究了 Kuramoto 模型中的雪崩现象，这些雪崩是由于同步的短暂事件导致的序参量的漂移。我们呈现了雪崩大小、持续时间、高度和时间分布的标度崩溃，提取了标度指数、指数关系和标度函数，这些结果与功率谱的标度行为一致，而功率谱是一个与我们对雪崩的特定定义无关的量。我们发展了亚临界有限 N Kuramoto 模型中的噪声的综合标度图像，将这个无驱动系统与更大一类的驱动雪崩系统联系起来。
