English

Patterned and Disordered Continuous Abelian Sandpile Model

Statistical Mechanics 2013-05-29 v1

Abstract

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 and study critical behavior of the model using perturbative conformal field theory and show the model has a new random fixed point.

Keywords

Cite

@article{arxiv.0906.0459,
  title  = {Patterned and Disordered Continuous Abelian Sandpile Model},
  author = {N. Azimi-Tafreshi and S. Moghimi-Araghi},
  journal= {arXiv preprint arXiv:0906.0459},
  year   = {2013}
}

Comments

11 Pages, 6 figures

R2 v1 2026-06-21T13:08:42.446Z