A Monte Carlo Renormalization Group Approach to the Bak-Sneppen model

Abstract

A recent renormalization group approach to a modified Bak-Sneppen model is discussed. We propose a self-consistency condition for the blocking scheme to be essential for a successful RG-method applied to self-organized criticality. A new method realizing the RG-approach to the Bak-Sneppen model is presented. It is based on the Monte-Carlo importance sampling idea. The new technique performs much faster than the original proposal. Using this technique we cross-check and improve previous results.

11 pages, REVTex, 2 Postscript figures included

References in corpus (1)

• Avalanche Dynamics in Evolution, Growth, and Depinning Models

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• On singular probability densities generated by extremal dynamics
• Wealth distribution of simple exchange models coupled with extremal dynamics
• Asymmetric dynamics and critical behavior in the Bak-Sneppen model