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arxiv: cond-mat/9909336 · v1 · submitted 1999-09-23 · ❄️ cond-mat.stat-mech

Modified Renormalization Strategy for Sandpile Models

classification ❄️ cond-mat.stat-mech
keywords renormalizationmodelssandpilescaleschemestrategyagreementallows
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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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