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Probabilistic approach to the Bak-Sneppen model

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)

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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.

Item Type: Article
Identification Number: 10.1103/PhysRevE.65.046101
Uncontrolled Keywords: PACS: 02.50.-r, 64.60.Ak, 04.20.Jb
Subjects: G Geography. Anthropology. Recreation > GF Human ecology. Anthropogeography
Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 21 Feb 2012 12:03
Last Modified: 21 Feb 2012 14:06
URI: http://eprints.imtlucca.it/id/eprint/1140

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