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Continuous Abelian Sandpile Model in two dimensional lattice

Azimi Tafreshi, N ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1142/S0217979211052654
  3. Publisher: 2011
  4. Abstract:
  5. We investigate a new version of sandpile model which is very similar to Abelian Sandpile Model (ASM), but the height variables are continuous ones. With the toppling rule we define in our model, we show that the model can be mapped to ASM, so the general properties of the two models are identical. Yet the new model allows us to investigate some problems such as the effect of very small mass on the height probabilities, different boundary conditions
  6. Keywords:
  7. Sandpile models ; Self-organized criticality
  8. Source: International Journal of Modern Physics B ; Volume 25, Issue 32 , 2011 , Pages 4709-4720 ; 02179792 (ISSN)
  9. URL: http://www.worldscientific.com/doi/abs/10.1142/S0217979211052654