Extreme Fluctuations in Small-Worlds with Relaxational Dynamics

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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.
4 pages, 2 figures

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Statistical Mechanics, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/22770

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0311575
 http://arxiv.org/abs/cond-mat/0311575
 Phys. Rev. E 69, 065104(R) (2004).
 doi:10.1103/PhysRevE.69.065104

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