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Cited by 176

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Driving, Conservation, and Absorbing States in Sandpiles

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Vespignani, Alessandro, Dickman, Ronald, Muñoz, Miguel A., Zapperi, Stefano·1998·Physical Review Letters

Abstract

We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding fixed-energy model. The latter displays an absorbing-state phase transition with upper critical dimension ${d}_{c}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}4$. We show that the driven model exhibits a fundamentally different approach to the critical point, and compute a subset of critical exponents. We present numerical simulations in support of our theoretical predictions.

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Metadata

Authors
Vespignani, A., Dickman, R., Muñoz, M. A., & Zapperi, S.
Venue
Physical Review Letters
Published
1998-12-21
Volume
81
Issue
25
Pages
5676-5679
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W1990771981
Cited by
176
References
1
FWCI
4.63
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Driving, Conservation, and Absorbing States in Sandpiles. https://app.cochat.ai/papers/10.1103/physrevlett.81.5676
The paper
Vespignani, A., Dickman, R., Muñoz, M. A., & Zapperi, S. (1998). Driving, Conservation, and Absorbing States in Sandpiles. Physical Review Letters. https://doi.org/10.1103/physrevlett.81.5676

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.