Abstract:
We show that the emergence of criticality in the locally-defined Bak-Sneppen model corresponds to separation over a hierarchy of timescales. Near to the critical point the model obeys scaling relations, with exponents which we derive numerically for a one-dimensional system. We further describe how the model can be related to the glass model of Bouchaud (J. Phys. I France 2, 1705 (1992)), and we use this insight to comment on the usual assumption of stationarity in the Bak-Sneppen model. Finally, we propose a general definition of self-organised criticality which is in partial agreement with other recent definitions.
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Received 14 January 2000 and Received in final form 18 April 2000
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Head, D. Temperature scaling, glassiness and stationarity in the Bak-Sneppen model. Eur. Phys. J. B 17, 289–294 (2000). https://doi.org/10.1007/s100510070143
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DOI: https://doi.org/10.1007/s100510070143