Universality in sandpiles
arXiv:cond-mat/9808263 · doi:10.1103/PhysRevE.59.R12
Abstract
We perform extensive numerical simulations of different versions of the sandpile model. We find that previous claims about universality classes are unfounded, since the method previously employed to analyze the data suffered a systematic bias. We identify the correct scaling behavior and conclude that sandpiles with stochastic and deterministic toppling rules belong to the same universality class.
4 pages, 4 ps figures; submitted to Phys. Rev. E
References in corpus (9)
- How self-organized criticality works: A unified mean-field picture
- Self-organized criticality as an absorbing-state phase transition
- Universality in Sandpile Models
- Rare events and breakdown of simple scaling in the Abelian sandpile
- Large scale simulations of the Zhang sandpile model
- Universality Classes in Isotropic, Abelian and non-Abelian, Sandpile Models
- The Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension
- Mean-field behavior of the sandpile model below the upper critical dimension
- Universality classes for rice-pile models
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