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Statistics of toppling wave boundaries in deterministic and stochastic sandpile models

Dashti Naserabadi, H ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1088/1751-8113/45/4/045001
  3. Publisher: 2012
  4. Abstract:
  5. We study numerically the statistics of curves which form the boundaries of toppling wave clusters in the deterministic Bak, Tang and Wiesenfeld sandpile model and stochastic Manna model on a square lattice. We consider the Abelian version of each model. Multiple tests show that the boundary of toppling wave clusters in both deterministic and stochastic models can be described by SLE curves with diffusivity = 2
  6. Keywords:
  8. Source: Journal of Physics A: Mathematical and Theoretical ; Volume 45, Issue 4 , 2012 ; 17518113 (ISSN)
  9. URL: http://iopscience.iop.org/article/10.1088/1751-8113/45/4/045001/meta;jsessionid=4EA1F9B77FA45F65F287EAA3DA5BD8A5.c2.iopscience.cld.iop.org