Eur. Phys. J. B 7, 505-508 (1999)
https://doi.org/10.1007/s100510050638

Damage-spreading in the parallel Bak-Sneppen model

Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany

Received: 24 September 1998
Revised: 17 November 1998
Accepted: 19 November 1998
Published online: 15 February 1999

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 universality class of Directed Percolation (DP) in 1+1 dimensions [CITE]. We focus our attention on the damage-spreading features of the PBS model with both random and deterministic updating, which are studied and compared to the known results for the extremal Bak-Sneppen model (BS) and for DP. For both random and deterministic updating, we observe a power law growth of the Hamming distance. In addition, we compute analytically the asymptotic plateau reached by the distance after the growing phase.