Modified Renormalization Strategy for Sandpile Models
统计力学
2009-10-31 v1
摘要
Following the Renormalization Group scheme recently developed by Pietronero {\it et al}, we introduce a simplifying strategy for the renormalization of the relaxation dynamics of sandpile models. In our scheme, five sub-cells at a generic scale form the renormalized cell at the next larger scale. Now the fixed point has a unique nonzero dynamical component that allows for a great simplification in the computation of the critical exponent . The values obtained are in good agreement with both numerical and theoretical results previously reported.
引用
@article{arxiv.cond-mat/9909336,
title = {Modified Renormalization Strategy for Sandpile Models},
author = {Y. Moreno and J. B. Gomez and A. F. Pacheco},
journal= {arXiv preprint arXiv:cond-mat/9909336},
year = {2009}
}
备注
APS style, 9 pages and 3 figures. To be published in Phys. Rev. E