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A Bethe lattice representation for sandpiles

Soft Condensed Matter 2009-10-31 v1 Statistical Mechanics

Abstract

Avalanches in sandpiles are represented throughout a process of percolation in a Bethe lattice with a feedback mechanism. The results indicate that the frequency spectrum and probability distribution of avalanches resemble more to experimental results than other models using cellular automata simulations. Apparent discrepancies between experiments are reconciled. Critical behavior is here expressed troughout the critical properties of percolation phenomena.

Keywords

Cite

@article{arxiv.cond-mat/9806176,
  title  = {A Bethe lattice representation for sandpiles},
  author = {Oscar Sotolongo-Costa and Alexei Vazquez and J. C. Antoranz},
  journal= {arXiv preprint arXiv:cond-mat/9806176},
  year   = {2009}
}

Comments

5 pages, 4 figures, submitted for publication

R2 v1 2026-07-22T12:04:39.669Z