Simple model of self-organized biological evolution

Journal Article · Mon Aug 08 00:00:00 EDT 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.73.906· OSTI ID:7152761

de Boer, J; Derrida, B; Flyvbjerg, H; Jackson, A D; Wettig, T ^[1]

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1. Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3800 (United States) The Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge, CB4 0EH (United Kingdom) Laboratoire de Physique Statistique, Ecole Normale Superieure, 24 rue Lhomond, F-75005 Paris (France) Service de Physique Theorique, Centre de Etudes Nucleaires de Saclay, F-91191, Gif-Sur-Yvette (France) CONNECT, The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)

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.

• DOE Contract Number: FG02-88ER40388
• OSTI ID: 7152761
• Journal Information: Physical Review Letters; (United States), Vol. 73:6; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
BIOLOGICAL EVOLUTION
ORGANIZATIONAL MODELS
CORRELATION FUNCTIONS
EQUATIONS
LIFE CYCLE
MEAN-FIELD THEORY
NEURAL NETWORKS
SHAPE
SIZE
STEADY-STATE CONDITIONS
TIME DEPENDENCE
FUNCTIONS
990200* - Mathematics & Computers