Sensitivity to initial conditions in the Bak-Sneppen model of biological evolution

  • F.A. Tamarit
  • S.A. Cannas
  • C. Tsallis
Article

DOI: 10.1007/s100510050217

Cite this article as:
Tamarit, F., Cannas, S. & Tsallis, C. Eur. Phys. J. B (1998) 1: 545. doi:10.1007/s100510050217

Abstract:

We consider biological evolution as described within the Bak and Sneppen 1993 model. We exhibit, at the self-organized critical state, a power-law sensitivity to the initial conditions, calculate the associated exponent, and relate it to the recently introduced nonextensive thermostatistics. The scenario which here emerges without tuning strongly reminds of that of the tuned onset of chaos in say logistic-like one-dimensional maps. We also calculate the dynamical exponent z.

PACS. 05.20.-y Statistical mechanics - 05.45.+b Theory and models of chaotic systems - 05.70.Ln Nonequilibrium thermodynamics, irreversible processes 

Copyright information

© EDP Sciences, Springer-Verlag 1998

Authors and Affiliations

  • F.A. Tamarit
    • 1
  • S.A. Cannas
    • 1
  • C. Tsallis
    • 1
  1. 1.Facultad de Matemática, Astronomía y FísicaUniversidad Nacional de Córdoba, Ciudad UniversitariaCórdobaArgentina
  2. 2.Departamento de FisicaUniversidade Federal do Rio Grande do NorteNatal-RNBrazil