Aging Exponents in Self-Organized Criticality

Details Aging Exponents in Self-Organized Criticality Aging Exponents in Self-Organized Criticality

1997-06-11

arxiv.org/abs/cond-mat/9706099v2

Physical Review E 56, 6466 (1997)

Physics

Condensed Matter

Statistical Mechanics

8 pages RevTex, 8 ps-figures included. Improved presentation, as to appear in PRE

Scientific paper

10.1103/PhysRevE.56.6466

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 $r_{d=1}=0.45\pm 0.05$ and $r_{d=2}=0.23\pm 0.05$ for the Bak-Sneppen model, and our results suggest $r=1/4$ for the analytically tractable multi-trade model in both dimensions.

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