Small-world behavior in a system of mobile elements
Condensed Matter
2009-11-07 v1 Cellular Automata and Lattice Gases
Abstract
We analyze the propagation of activity in a system of mobile automata. A number r L^d of elements move as random walkers on a lattice of dimension d, while with a small probability p they can jump to any empty site in the system. We show that this system behaves as a Dynamic Small-World (DSW) and present analytic and numerical results for several quantities. Our analysis shows that the persistence time T* (equivalent to the persistence size L* of small-world networks) scales as T* ~ (r p)^(-t), with t = 1/(d+1).
Keywords
Cite
@article{arxiv.cond-mat/0102069,
title = {Small-world behavior in a system of mobile elements},
author = {Susanna C. Manrubia and Jordi Delgado and Bartolo Luque},
journal= {arXiv preprint arXiv:cond-mat/0102069},
year = {2009}
}
Comments
To appear in Europhysics Letters