Abstract
We investigate a renormalization group (RG) scheme for avalanche automata introduced recently by Pietroneroet al. to explain universality in self-organized criticality models. Using a modified approach, we construct exact RG equations for a one-dimensional model whose detailed dynamics is exactly solvable. We then investigate in detail the effect of approximations inherent in a practical implementation of the RG transformation where exact dynamical information is unavailable.
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Hasty, J., Wiesenfeld, K. Renormalization of one-dimensional avalanche models. J Stat Phys 86, 1179–1201 (1997). https://doi.org/10.1007/BF02183620
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DOI: https://doi.org/10.1007/BF02183620