Modified Renormalization Strategy for Sandpile Models

Details Modified Renormalization Strategy for Sandpile Models Modified Renormalization Strategy for Sandpile Models

1999-09-23

arxiv.org/abs/cond-mat/9909336v1

Phys. Rev. E. 60, 7565 (1999)

Physics

Condensed Matter

Statistical Mechanics

APS style, 9 pages and 3 figures. To be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.60.7565

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 $b$ 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 $z$. The values obtained are in good agreement with both numerical and theoretical results previously reported.

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