论文标题
光谱凝结的普遍性
Universality in spectral condensation
论文作者
论文摘要
自组织是复杂系统中远离平衡的复杂系统中时空或时空模式的自发形成。在这种自组织中,分布在频率宽带中的能量被凝结成主要模式,类似于冷凝现象。我们称这种现象光谱凝结,并研究其在流体机械,光学和电子系统中的发生。我们定义了一组光谱措施,以量化跨越几个动态系统的凝结。此外,我们发现了光谱测量的反功率定律行为,其功率对应于上述所有系统中功率谱中的主要峰值。
Self-organization is the spontaneous formation of spatial, temporal, or spatiotemporal patterns in complex systems far from equilibrium. During such self-organization, energy distributed in a broadband of frequencies gets condensed into a dominant mode, analogous to a condensation phenomena. We call this phenomenon spectral condensation and study its occurrence in fluid mechanical, optical and electronic systems. We define a set of spectral measures to quantify this condensation spanning several dynamical systems. Further, we uncover an inverse power law behaviour of spectral measures with the power corresponding to the dominant peak in the power spectrum in all the aforementioned systems.