MEAN-FIELD THEORY FOR A SIMPLE-MODEL OF EVOLUTION

Authors
FLYVBJERG H SNEPPEN K BAK P
Citation
H. Flyvbjerg et al., MEAN-FIELD THEORY FOR A SIMPLE-MODEL OF EVOLUTION, Physical review letters, 71(24), 1993, pp. 4087-4090
Citations number
20
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
71
Issue
24
Year of publication
1993
Pages
4087 - 4090
Database
ISI
SICI code
0031-9007(1993)71:24<4087:MTFASO>2.0.ZU;2-E
Abstract
A simple dynamical model for Darwinian evolution on its slowest time s cale is analyzed. Its mean field theory is formulated and solved. A-ra ndom neighbor version of the model is simulated, as is a one-dimension al version. In one dimension, the dynamics can be described in terms o f a ''repetitious random walker'' and anomalous diffusion with exponen t 0.4. In all cases the model self-organizes to a robust critical attr actor.