Abstract
We study the phenomena of self-organized criticality originally proposed by Bak, Tang, and Wiesenfeld. A continuous-energy model is introduced. Using numerical simulations, we find that energy is homogeneously and isotropically distributed in space, and that it is concentrated around discrete values. We propose a scaling theory to estimate the various exponents. The activation cluster size distribution is found to be D(s)∼1/, τ=2-2/d; and the dispersion relation t∼, z=(d+2)/3.
- Received 18 January 1989
DOI:https://doi.org/10.1103/PhysRevLett.63.470
©1989 American Physical Society