Aging exponents in self-organized criticality

Journal Article · Mon Dec 01 04:00:00 EST 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.56.6466· OSTI ID:550482

Boettcher, S ^[1]

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1. Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta, Georgia 30314 (United States)

In a recent Letter [Phys. Rev. Lett. {bold 79}, 889 (1997)] we 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 that is related to the age of the avalanche. This dynamical breaking of time-translational invariance results in a previously unrecognized 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{sub d=1}=0.45{plus_minus}0.05 and r{sub d=2}=0.23{plus_minus}0.05 for the Bak-Sneppen model, and our results suggest r=1/4 for the analytically tractable multitrade model in both dimensions. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 550482
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 56; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AGING
AVALANCHE QUENCHING
CORRELATIONS
CRITICALITY
DISTRIBUTION
SIMULATION
SYMMETRY BREAKING