Modified renormalization strategy for sandpile models.
Following the renormalization-group scheme recently developed by Pietronero et al. [Phys. Rev. Lett. 72, 1690 (1994)] we introduce a simplifying strategy for the renormalization of the relaxation dynamics of sandpile models. In our scheme, five subcells 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.
Moreno
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Departamento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain.
Gómez
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JB
Pacheco
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AF