A model of the Lu-Hamilton kind is applied to the study of critical behavior of the magnetized solar atmosphere. The main novelty is that its driving is done via sources undergoing a diffusion. This mimics the effect of a virtual turbulent substrate forcing the system. The system exhibits power-law statistics not only in the size of the flares, but also in the distribution of the waiting times.
@article{arxiv.0709.2053,
title = {Correlated flares in models of a magnetized "canopy"},
author = {M. Baiesi and C. Maes and B. M. Shergelashvili},
journal= {arXiv preprint arXiv:0709.2053},
year = {2008}
}