Self-Organized Criticality in a Bulk Driven One-Dimensional Deterministic System
Statistical Mechanics
2009-11-10 v3
Abstract
We introduce a deterministic self-organized critical system that is one dimensional and bulk driven. We find that there is no universality class associated with the system. That is, the critical exponents change as the parameters of the system are changed. This is in contrast with the boundary driven version of the model [M. de Sousa Vieira, Phys. Rev. E 61 (2000) 6056] in which the exponents are unique. This model can be seen as a discretized version of the conservative limit of the Burridge-Knopoff model for earthquakes.
Cite
@article{arxiv.cond-mat/0310274,
title = {Self-Organized Criticality in a Bulk Driven One-Dimensional Deterministic System},
author = {Maria de Sousa Vieira},
journal= {arXiv preprint arXiv:cond-mat/0310274},
year = {2009}
}
Comments
In honor of Constantino Tsallis in the celebration of his 60th birthday (5 pages, 3 figures)- corrected typos