Damage-spreading in the parallel Bak-Sneppen model

Citation
R. Cafiero et al., Damage-spreading in the parallel Bak-Sneppen model, EUR PHY J B, 7(4), 1999, pp. 505-508
Citations number
20
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL B
ISSN journal
14346028 → ACNP
Volume
7
Issue
4
Year of publication
1999
Pages
505 - 508
Database
ISI
SICI code
1434-6028(199902)7:4<505:DITPBM>2.0.ZU;2-T
Abstract
We study the behavior under perturbations of the Parallel Bak-Sneppen model (PBS) in 1 + 1 dimension, which has been shown to belong to the universali ty class of Directed Percolation (DP) in 1+1 dimensions [1]. We focus our a ttention on the damage-spreading features of the PBS model with both random and deterministic updating, which are studied and compared to the known re sults for the extremal Bak-Sneppen model (BS) and for DP. For both random a nd deterministic updating, we observe a power law growth of the Hamming dis tance. In addition, we compute analytically the asymptotic plateau reached by the distance after the growing phase.