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Small-world behavior in a system of mobile elements

Susanna C. Manrubia·Jordi Delgado·Bartolo Luque
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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).

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Susanna C. Manrubia, Jordi Delgado, Bartolo Luque. 2001-02-05. Small-world behavior in a system of mobile elements. https://doi.org/10.1209/epl%2Fi2001-00263-9

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