Extreme Fluctuations in Small-Worlds with Relaxational Dynamics

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dc.creatorGuclu, H.
dc.creatorKorniss, G.
dc.date2003-11-25
dc.date.accessioned2026-07-07T02:54:57Z
dc.date.available2026-07-07T02:54:57Z
dc.descriptionWe 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.
dc.description4 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0311575
dc.identifierhttp://arxiv.org/abs/cond-mat/0311575
dc.identifierPhys. Rev. E 69, 065104(R) (2004).
dc.identifierdoi:10.1103/PhysRevE.69.065104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22770
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleExtreme Fluctuations in Small-Worlds with Relaxational Dynamics
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