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Patterned and disordered continuous abelian sandpile model

Azimi Tafreshi, N ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevE.80.046115
  3. Publisher: 2009
  4. Abstract:
  5. We study critical properties of the continuous Abelian sandpile model with anisotropies in toppling rules that produce ordered patterns on it. Also, we consider the continuous directed sandpile model perturbed by a weak quenched randomness, study critical behavior of the model using perturbative conformal field theory, and show that the model has a random fixed point. © 2009 The American Physical Society
  6. Keywords:
  7. Abelian sandpile model ; Conformal field theories ; Critical behavior ; Critical properties ; Quenched randomness ; Random fixed point ; Sand-pile models
  8. Source: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ; Volume 80, Issue 4 , 2009 ; 15393755 (ISSN)
  9. URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.80.046115