Emergent spatial structures in critical sandpiles
统计力学
2009-10-30 v1
摘要
We introduce and study a new directed sandpile model with threshold dynamics and stochastic toppling rules. We show that particle conservation law and the directed percolation-like local evolution of avalanches lead to the formation of a spatial structure in the steady state, with the density developing a power law tail away from the top. We determine the scaling exponents characterizing the avalanche distributions in terms of the critical exponents of directed percolation in all dimensions.
引用
@article{arxiv.cond-mat/9707151,
title = {Emergent spatial structures in critical sandpiles},
author = {Bosiljka Tadić and Deepak Dhar},
journal= {arXiv preprint arXiv:cond-mat/9707151},
year = {2009}
}
备注
4 pages, 4 Postscript figures, to appear in Phys. Rev. Lett