On the High-dimensional Bak-Sneppen model

Details On the High-dimensional Bak-Sneppen model On the High-dimensional Bak-Sneppen model

1998-02-06

arxiv.org/abs/cond-mat/9802069v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 eps figures

Scientific paper

10.1103/PhysRevLett.80.5746

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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