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Fluctuations and finite-size effect in the Bak-Sneppen model

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Abstract:

The self-organized criticality in the nearest-neighbor version of the Bak-Sneppen model is investigated from the event-by-event fluctuations of the mean fitness. The finite-size effect on the evolution of the critical state is shown, and a scaling solution to the gap equation for an infinite one-dimensional lattice is given numerically for the first time. The mean lifetime of avalanches is presented as a function of the gap from the solution. The critical value of the gap and an exponent are calculated from the solution.

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Authors and Affiliations

  1. Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430079, PR China, , , , , , CN

    C.B. Yang & X. Cai

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  1. C.B. Yang
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  2. X. Cai
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Received 10 December 2000 and Received in final form 18 January 2001

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Yang, C., Cai, X. Fluctuations and finite-size effect in the Bak-Sneppen model. Eur. Phys. J. B 21, 109–114 (2001). https://doi.org/10.1007/s100510170219

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  • DOI: https://doi.org/10.1007/s100510170219

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