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Dynamic Critical approach to Self-Organized Criticality | | Karina Laneri
; Alejandro F. Rozenfeld
; Ezequiel V. Albano
; | | Date: |
19 Dec 2005 | | Subject: | Adaptation and Self-Organizing Systems | | Abstract: | A dynamic scaling Ansatz for the approach to the Self-Organized Critical (SOC) regime is proposed and tested by means of extensive simulations applied to the Bak-Sneppen model (BS), which exhibits robust SOC behavior. Considering the short-time scaling behavior of the density of sites ($
ho(t)$) below the critical value, it is shown that i) starting the dynamics with configurations such that $
ho(t=0) o 0$ one observes an {it initial increase} of the density with exponent $ heta = 0.12(2)$; ii) using initial configurations with $
ho(t=0) o 1$, the density decays with exponent $delta = 0.47(2)$. It is also shown that he temporal autocorrelation decays with exponent $C_a = 0.35(2)$. Using these, dynamically determined, critical exponents and suitable scaling relationships, all known exponents of the BS model can be obtained, e.g. the dynamical exponent $z = 2.10(5)$, the mass dimension exponent $D = 2.42(5)$, and the exponent of all returns of the activity $ au_{ALL} = 0.39(2)$, in excellent agreement with values already accepted and obtained within the SOC regime. | | Source: | arXiv, nlin/0512050 | | Other source: | [GID 1106120] pmid16485999 | | Services: | Forum | Review | PDF | Favorites | |
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