### Abstract

We study an energy-constrained sandpile model with random neighbors. The critical behavior of the model is in the same universality class as the mean-field self-organized criticality sandpile. The critical energy E-c depends on the number of neighbors n for each site, but the various exponents are independent of n. A self-similar structure with n-1 major peaks is developed for the energy distribution p(E) when the system approaches its stationary state. The avalanche dynamics contributes to the major peaks appearing at E-Pk = 2k/(2n - 1) with k = 1,2,...,n-1, while the fine self-similar structure is a natural result of the way the system is disturbed. [S1063-651X(99)10307-6].

Original language | English |
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Pages (from-to) | 259-263 |

Number of pages | 5 |

Journal | Physical Review E |

Volume | 60 |

Issue number | 1 |

Publication status | Published - 1999 |

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

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## Cite this

Zhang, S-D. (1999). Universality and self-similarity of an energy-constrained sandpile model with random neighbors.

*Physical Review E*,*60*(1), 259-263.