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Aging Exponents in Self-Organized Criticality | | Stefan Boettcher
; | | Date: |
11 Jun 1997 | | Journal: | Physical Review E 56, 6466 (1997) | | Subject: | Statistical Mechanics; Adaptation and Self-Organizing Systems | cond-mat.stat-mech adap-org nlin.AO | | Affiliation: | CTSPS, Clark Atlanta U. and CNLS, Los Alamos | | Abstract: | In a recent Letter [Phys. Rev. Lett. 79, 889 (1997) and cond-mat/9702054] we have demonstrated that the avalanches in the Bak-Sneppen model display aging behavior similar to glassy systems. Numerical results for temporal correlations show a broad distribution with two distinct regimes separated by a time scale which is related to the age of the avalanche. This dynamical breaking of time-translational invariance results in a new critical exponent, $r$. Here we present results for $r$ from extensive numerical simulations of self-organized critical models in $d=1$ and 2. We find $r_{d=1}=0.45pm 0.05$ and $r_{d=2}=0.23pm 0.05$ for the Bak-Sneppen model, and our results suggest $r=1/4$ for the analytically tractable multi-trade model in both dimensions. | | Source: | arXiv, cond-mat/9706099 | | Other source: | [GID 442619] cond-mat/9706099 | | Services: | Forum | Review | PDF | Favorites | |
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