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On the High-dimensional Bak-Sneppen model

P. De Los Rios·M. Marsili·M. Vendruscolo
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Abstract

We report on extensive numerical simulations on the Bak-Sneppen model in high dimensions. We uncover a very rich behavior as a function of dimensionality. For d>2 the avalanche cluster becomes fractal and for d \ge 4 the process becomes transient. Finally the exponents reach their mean field values for d=d_c=8, which is then the upper critical dimension of the Bak Sneppen model.

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P. De Los Rios, M. Marsili, M. Vendruscolo. 1998-02-06. On the High-dimensional Bak-Sneppen model. https://doi.org/10.1103/physrevlett.80.5746

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