Year: 1999
Type: article
Abstract: We study a random neighbor version of the Bak-Sneppen model, where ``nearest neighbors'' are chosen according to a probability distribution decaying as a power law of the distance from the active site, $P(x)\ensuremath{\sim}|x\ensuremath{-}{x}_{\mathrm{ac}}{|}^{\ensuremath{-}\ensuremath{\omega}}.$ All of the exponents characterizing the self-organized critical state of this model depend on the exponent $\ensuremath{\omega}$. As $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\omega}}1$ we recover the usual random nearest-neighbor version of the model. The pattern of results obtained for a range of values of $\ensuremath{\omega}$ is also compatible with the results of simulations of the original BS model in high dimensions. Moreover, our results suggest a critical dimension ${d}_{c}=6$ for the Bak-Sneppen model, in contrast with previous claims.
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2043459177