eprintid: 1151
rev_number: 8
eprint_status: archive
userid: 6
dir: disk0/00/00/11/51
datestamp: 2012-02-22 16:18:26
lastmod: 2014-12-05 09:31:58
status_changed: 2012-02-22 16:18:26
type: article
metadata_visibility: show
creators_name: Felici, Maddalena
creators_name: Caldarelli, Guido
creators_name: Gabrielli, Andrea
creators_name: Pietronero, Luciano
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
creators_id: 
creators_id: 
title: Perturbative approach to the Bak-Sneppen model
ispublished: pub
subjects: QC
divisions: EIC
full_text_status: public
keywords: PACS: 05.65.+b, 02.50.-r, 64.60.Ak, 87.23.Kg

note: © 2001 American Physical Society
abstract: We study the Bak-Sneppen model in the probabilistic framework of the run time statistics (RTS). This model has attracted a large interest for its simplicity being a prototype for the whole class of models showing self-organized criticality. The dynamics is characterized by a self-organization of almost all the species fitnesses above a nontrivial threshold value, and by a lack of spatial and temporal characteristic scales. This results in avalanches of activity power law distributed. In this Letter we use the RTS approach to compute the value of xc, the value of the avalanche exponent τ, and the asymptotic distribution of minimal fitnesses.
date: 2001-02
date_type: published
publication: Physical Review Letters
volume: 86
number: 9
publisher: American Physical Society
pagerange: 1896-1899
id_number: 10.1103/PhysRevLett.86.1896
refereed: TRUE
issn: 0031-9007
official_url: http://dx.doi.org/10.1103/PhysRevLett.86.1896
citation:   Felici, Maddalena and Caldarelli, Guido and Gabrielli, Andrea and Pietronero, Luciano  Perturbative approach to the Bak-Sneppen model.  Physical Review Letters, 86 (9).  pp. 1896-1899.  ISSN 0031-9007      (2001)  
document_url: http://eprints.imtlucca.it/1151/1/PhysRevLett.Caldarelli_01.pdf