Aging in a Model of Self-Organized Criticality

Journal Article · Fri Aug 01 04:00:00 EDT 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.889· OSTI ID:565388

Boettcher, S ^[1]; Boettcher, S ^[2]; Boettcher, S ^[3]; Paczuski, M ^[4]

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1. Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta, Georgia 30314 (United States)
2. Department of Physics and Astronomy, The University of Oklahoma, Norman, Oklahoma 73019-0225 (United States)
3. Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
4. Department of Physics, University of Houston, Houston, Texas 77204-5506 (United States)

Temporal autocorrelation functions for avalanches in the Bak-Sneppen model display aging behavior similar to glassy systems. Numerical simulations show that they decay as power laws with two distinct regimes separated by a time scale which is the waiting time, or age, of the avalanche. Thus, time-translational invariance is dynamically broken. The critical exponent of the initial decay is that of the familiar stationary dynamics while a new critical exponent for the late-time behavior appears. This new exponent characterizes a nonstationary regime that has not been previously considered in the context of self-organized criticality. {copyright} {ital 1997} {ital The American Physical Society}

• DOE Contract Number: FG02-95ER40923
• OSTI ID: 565388
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 79; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AGING
CORRELATION FUNCTIONS
CRITICALITY
DISSIPATION FACTOR
SAND
SCALING LAWS
SIMULATION