Universality and self-similarity of an energy-constrained sandpile model with random neighbors

Shu-Dong Zhang

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)259-263
Number of pages5
JournalPhysical Review E
Volume60
Issue number1
Publication statusPublished - 1999

ASJC Scopus subject areas

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

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