We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Universal flux-fluctuation law in small systems.
- Authors
Zi-Gang Huang; Jia-Qi Dong; Liang Huang; Ying-Cheng Lai
- Abstract
The relation between flux and fluctuation is fundamental to complex physical systems that support and transport flows. A recently obtained law predicts monotonous enhancement of fluctuation as the average flux is increased, which in principle is valid but only for large systems. For realistic complex systems of small sizes, this law breaks down when both the average flux and fluctuation become large. Here we demonstrate the failure of this law in small systems using real data and model complex networked systems, derive analytically a modified flux-fluctuation law, and validate it through computations of a large number of complex networked systems. Our law is more general in that its predictions agree with numerics and it reduces naturally to the previous law in the limit of large system size, leading to new insights into the flow dynamics in small-size complex systems with significant implications for the statistical and scaling behaviors of small systems, a topic of great recent interest.
- Subjects
FLUCTUATIONS (Physics); FLUX (Energy); DYNAMICS; STATISTICAL physics; DYNAMICAL systems
- Publication
Scientific Reports, 2014, p1
- ISSN
2045-2322
- Publication type
Article
- DOI
10.1038/srep06787