eprintid: 1140
rev_number: 12
eprint_status: archive
userid: 6
dir: disk0/00/00/11/40
datestamp: 2012-02-21 12:03:48
lastmod: 2012-02-21 14:06:17
status_changed: 2012-02-21 12:03:48
type: article
metadata_visibility: show
creators_name: Caldarelli, Guido
creators_name: Felici, Maddalena
creators_name: Gabrielli, Andrea
creators_name: Pietronero, Luciano
creators_id: guido.caldarelli@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
title: Probabilistic approach to the Bak-Sneppen model
ispublished: pub
subjects: GF
subjects: QC
divisions: EIC
full_text_status: none
keywords: PACS: 02.50.-r, 64.60.Ak, 04.20.Jb

abstract: We study here the Bak-Sneppen model, a prototype model for the study of self-organized criticality. In this model several species interact and undergo extinction with a power-law distribution of activity bursts. Species are defined through their “fitness” whose distribution in the system is uniform above a certain threshold. Run time statistics is introduced for the analysis of the dynamics in order to explain the peculiar properties of the model. This approach based on conditional probability theory, takes into account the correlations due to memory effects. In this way, we may compute analytically the value of the fitness threshold with the desired precision. This represents a substantial improvement with respect to the traditional mean field approach.
date: 2002-03
date_type: published
publication: Physical Review E
volume: 65
number: 4
publisher: American Physical Society
id_number: 10.1103/PhysRevE.65.046101
refereed: TRUE
issn: 1539-3755
official_url: http://dx.doi.org/10.1103/PhysRevE.65.046101
citation:   Caldarelli, Guido and Felici, Maddalena and Gabrielli, Andrea and Pietronero, Luciano  Probabilistic approach to the Bak-Sneppen model.  Physical Review E, 65 (4).   ISSN 1539-3755      (2002)