A solvable non-conservative model of Self-Organized Criticality
Abstract
We present the first solvable non-conservative sandpile-like critical model of Self-Organized Criticality (SOC), and thereby substantiate the suggestion by Vespignani and Zapperi [A. Vespignani and S. Zapperi, Phys. Rev. E 57, 6345 (1998)] that a lack of conservation in the microscopic dynamics of an SOC-model can be compensated by introducing an external drive and thereby re-establishing criticality. The model shown is critical for all values of the conservation parameter. The analytical derivation follows the lines of Broeker and Grassberger [H.-M. Broeker and P. Grassberger, Phys. Rev. E 56, 3944 (1997)] and is supported by numerical simulation. In the limit of vanishing conservation the Random Neighbor Forest Fire Model (R-FFM) is recovered.
Keywords
Cite
@article{arxiv.cond-mat/0104567,
title = {A solvable non-conservative model of Self-Organized Criticality},
author = {Gunnar Pruessner and Henrik Jeldtoft Jensen},
journal= {arXiv preprint arXiv:cond-mat/0104567},
year = {2009}
}
Comments
4 pages in RevTeX format (2 Figures) submitted to PRL