Equivalence of the train model of earthquake and boundary driven Edwards-Wilkinson interface
arXiv:1305.3790 · doi:10.1140/epjb/e2013-40637-6
Abstract
A discretized version of the Burridge-Knopoff train model with (non-linear friction force replaced by) random pinning is studied in one and two dimensions. A scale free distribution of avalanches and the Omori law type behaviour for after-shocks are obtained. The avalanche dynamics of this model becomes precisely similar (identical exponent values) to the Edwards-Wilkinson (EW) model of interface propagation. It also allows the complimentary observation of depinning velocity growth (with exponent value identical with that for EW model) in this train model and Omori law behaviour of after-shock (depinning) avalanches in the EW model.
8 pages, 16 figs
References in corpus (4)
- Statistical similarity between the compression of a porous material and earthquakes
- Dynamic effect of overhangs and islands at the depinning transition in two-dimensional magnets
- Mapping the train model for earthquakes onto the stochastic sandpile model
- Effect of fractal disorder on static friction in the Tomlinson model