Near mean-field behavior in the generalized Burridge-Knopoff earthquake model with variable range stress transfer
Abstract
Simple models of earthquake faults are important for understanding the mechanisms for their observed behavior in nature, such as Gutenberg-Richter scaling. Because of the importance of long-range interactions in an elastic medium, we generalize the Burridge-Knopoff slider-block model to include variable range stress transfer. We find that the Burridge-Knopoff model with long-range stress transfer exhibits qualitatively different behavior than the corresponding long-range cellular automata models and the usual Burridge-Knopoff model with nearest-neighbor stress transfer, depending on how quickly the friction force weakens with increasing velocity. Extensive simulations of quasiperiodic characteristic events, mode-switching phenomena, ergodicity, and waiting-time distributions are also discussed. Our results are consistent with the existence of a mean-field critical point and have important implications for our understanding of earthquakes and other driven dissipative systems.
Keywords
Cite
@article{arxiv.cond-mat/0601679,
title = {Near mean-field behavior in the generalized Burridge-Knopoff earthquake model with variable range stress transfer},
author = {Junchao Xia and Harvey Gould and William Klein and John B. Rundle},
journal= {arXiv preprint arXiv:cond-mat/0601679},
year = {2013}
}
Comments
24 pages 12 figures, revised version for Phys. Rev. E