Infinite Series of Exact Equations in the Bak-Sneppen Model of Biological Evolution
Journal Article
·
· Physical Review Letters
- Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
We derive an infinite hierarchy of exact equations for the Bak-Sneppen (BS) model in arbitrary dimensions. These equations relate different moments of temporal duration and spatial size of avalanches. We prove that the exponents of the BS model are the same above and below the critical point, and express the universal amplitude ratio of the avalanche spatial size in terms of the critical exponents. The equations uniquely determine the shape of the scaling function of the avalanche distribution. It is shown that in the BS model in arbitrary dimensions there is only one independent critical exponent. {copyright} {ital 1996 The American Physical Society.}
- Research Organization:
- Brookhaven National Laboratory
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 286792
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 6 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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