| Issue |
Europhys. Lett.
Volume 53, Number 5, March 2001
|
|
|---|---|---|
| Page(s) | 693 - 699 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2001-00263-9 | |
| Published online | 01 December 2003 | |
Small-world behaviour in a system of mobile elements
1
Max Planck Institute for Colloids and Interfaces, Theory
Division 14424 Potsdam, Germany
2
Departament de Llenguatges i Sistemes
Informàtics, Universitat Politècnica de Catalunya - Campus Nord,
Mòdul C6, 08034 Barcelona, Spain
3
Centro de Astrobiología (CAB), INTA - Carretera de Ajalvir
Km. 4 28850 Torrejón de Ardoz, Madrid, Spain
Received:
2
October
2000
Accepted:
11
December
2000
We analyze the propagation of activity in a system of mobile automata.
A number 
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 
, with 
.
PACS: 87.23.Ge – Dynamics of social systems / 05.10.-a – Computational methods in statistical physics and nonlinear dynamics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, 2001
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.