Mean field theory for a simple model of evolution

Henrik Flyvbjerg, Kim Sneppen, and Per Bak
Phys. Rev. Lett. 71, 4087 – Published 13 December 1993
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Abstract

A simple dynamical model for Darwinian evolution on its slowest time scale is analyzed. Its mean field theory is formulated and solved. A random neighbor version of the model is simulated, as is a one-dimensional version. In one dimension, the dynamics can be described in terms of a ‘‘repetitious random walker’’ and anomalous diffusion with exponent 0.4. In all cases the model self-organizes to a robust critical attractor.

  • Received 5 August 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.4087

©1993 American Physical Society

Authors & Affiliations

Henrik Flyvbjerg

  • Department of Physics, Princeton University, Princeton, New Jersey, 08544-708

Kim Sneppen

  • The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen O/, Denmark

Per Bak

  • Brookhaven National Laboratory, Upton, New York, 11973

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Vol. 71, Iss. 24 — 13 December 1993

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