Breakdown of simple scaling in Abelian sandpile models in one dimension.

  • M Ali, Dhar
  • Published 1995 in
    Physical review. E, Statistical physics, plasmas…


We study the abelian sandpile model on decorated one dimensional chains. We determine the structure and the asymptotic form of distribution of avalanche-sizes in these models, and show that these differ qualitatively from the behavior on a simple linear chain. We find that the probability distribution of the total number of topplings s on a finite system of… (More)


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