English

Generic slow relaxation in a stochastic sandpile

Statistical Mechanics 2009-11-07 v1 Soft Condensed Matter

Abstract

Simulations of a stochastic fixed-energy sandpile in one and two dimensions reveal slow relaxation of the order parameter, even far from the critical point. The decay of the activity is best described by a stretched-exponential form. The persistence probability (for a site not to have toppled up to time t), also exhibits stretched-exponential relaxation. The results suggest a connection between sandpile models and structural glasses.

Keywords

Cite

@article{arxiv.cond-mat/0209589,
  title  = {Generic slow relaxation in a stochastic sandpile},
  author = {Ronald Dickman},
  journal= {arXiv preprint arXiv:cond-mat/0209589},
  year   = {2009}
}

Comments

8 pages, 4 figures