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Dynamic critical approach to self-organized criticality | | Karina Laneri
; Alejandro F Rozenfeld
; Ezequiel V Albano
; | | Date: |
30 Nov 2005 | | Journal: | Phys Rev E, 72 (6 Pt 2), 065105 | | 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 [rho(t)] below the critical value, it is shown that (i) starting the dynamics with configurations such that rho(t=0)-->0 one observes an initial increase of the density with exponent theta=0.12(2); (ii) using initial configurations with rho(t=0)-->1, the density decays with exponent delta=0.47(2). It is also shown that the temporal autocorrelation decays with exponent Ca=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 tauALL=0.39(2), in excellent agreement with values already accepted and obtained within the SOC regime. | | Source: | PubMed, pmid16485999 | | Other source: | [GID 1106120] nlin/0512050 | | Services: | Forum | Review | Favorites | |
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