English

Critical behavior of a one-dimensional fixed-energy stochastic sandpile

Statistical Mechanics 2009-11-07 v1

Abstract

We study a one-dimensional fixed-energy version (that is, with no input or loss of particles), of Manna's stochastic sandpile model. The system has a continuous transition to an absorbing state at a critical value ζc\zeta_c of the particle density. Critical exponents are obtained from extensive simulations, which treat both stationary and transient properties. In contrast with other one-dimensional sandpiles, the model appears to exhibit finite-size scaling, though anomalies exist in the scaling of relaxation times and in the approach to the stationary state. The latter appear to depend strongly on the nature of the initial configuration. The critical exponents differ from those expected at a linear interface depinning transition in a medium with point disorder, and from those of directed percolation.

Keywords

Cite

@article{arxiv.cond-mat/0101381,
  title  = {Critical behavior of a one-dimensional fixed-energy stochastic sandpile},
  author = {Ronald Dickman and Mikko Alava and Miguel A. Munoz and Jarkko Peltola and Alessandro Vespignani and Stefano Zapperi},
  journal= {arXiv preprint arXiv:cond-mat/0101381},
  year   = {2009}
}

Comments

15 pages, 11 figures