Expansion Around the Mean-Field Solution of the Bak-Sneppen Model
Journal Article
·
· Physical Review Letters
- Institut de Physique Theorique, Universite de Fribourg Perolles, Fribourg, CH-1700 (Switzerland)
- Max-Planck-Institut fuer Physik Komplexer Systeme, Noethnitzer Str.38, D-01187 Dresden (Germany)
- Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
We study a recently proposed equation for the avalanche distribution in the Bak-Sneppen model. We demonstrate that this equation indirectly relates {tau} , the exponent for the power law distribution of avalanche sizes, to D , the fractal dimension of an avalanche cluster. We compute this relation numerically and approximate it analytically up to the second order of expansion around the mean-field exponents. Our results are consistent with Monte Carlo simulations of the Bak-Sneppen model in one and two dimensions. {copyright} {ital 1998} {ital The American Physical Society}
- Research Organization:
- Brookhaven National Laboratory
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 591841
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 7 Vol. 80; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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