1. Extreme Fluctuations in Small-Worlds with Relaxational Dynamics
- Author
-
Guclu, H. and Korniss, G.
- Subjects
Statistical Mechanics (cond-mat.stat-mech) ,FOS: Physical sciences ,Disordered Systems and Neural Networks (cond-mat.dis-nn) ,Condensed Matter - Disordered Systems and Neural Networks ,Condensed Matter - Statistical Mechanics - 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., Comment: 4 pages, 2 figures
- Published
- 2003
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