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Extreme Fluctuations in Small-Worlds with Relaxational Dynamics

H. Guclu·G. Korniss
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Abstract

We study the distribution and scaling of the extreme height fluctuations for Edwards-Wilkinson-type relaxation on small-world substrates. When random links are added to a one-dimensional lattice, the average size of the fluctuations becomes finite (synchronized state) and the extreme height diverges only logarithmically in the large system-size limit. This latter property ensures synchronization in a practical sense in small-world coupled multi-component autonomous systems. The statistics of the extreme heights is governed by the Fisher-Tippett-Gumbel distribution.

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BibTeXRIS

H. Guclu, G. Korniss. 2003-11-25. Extreme Fluctuations in Small-Worlds with Relaxational Dynamics. https://doi.org/10.1103/physreve.69.065104

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