Simple Model of Self-Organized Biological Evolution

Jan de Boer; Bernard Derrida; Henrik Flyvbjerg; Andrew D. Jackson; Tilo Wettig

doi:10.1103/PhysRevLett.73.906

Simple Model of Self-Organized Biological Evolution

Jan de Boer, Bernard Derrida, Henrik Flyvbjerg, Andrew D. Jackson, and Tilo Wettig

Phys. Rev. Lett. 73, 906 – Published 8 August 1994

Abstract

We give an exact solution of a recently proposed self-organized critical model of biological evolution. We show that the model has a power law distribution of durations of coevolutionary "avalanches" with a mean field exponent 3/2. We also calculate analytically the finite size effects which cut off this power law at times of the order of the system size.

Received 25 March 1994

DOI:https://doi.org/10.1103/PhysRevLett.73.906

Authors & Affiliations

Jan de Boer^1,*, Bernard Derrida^2,3,4,*, Henrik Flyvbjerg^2,5,*, Andrew D. Jackson^1,*, and Tilo Wettig^1,*

¹Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3800
²The Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB4 0EH, United Kingdom
³Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 rue Lhomond, F-75005 Paris, France
⁴Service de Physique Théorique, Centre de Etudes Nucléaires de Saclay, F-91191, Gif-sur-Yvette, France
⁵CONNECT,* The Niels Bohr Institute, Blagdamsvej 17, DK-2100 Copenhagen, Denmark