Universality classes for rice-pile models

Details Universality classes for rice-pile models Universality classes for rice-pile models

1997-05-11

arxiv.org/abs/cond-mat/9705097v1

Phys. Rev. E 56, 231-234 (1997).

Physics

Condensed Matter

Statistical Mechanics

4 pages, including 3 figures

Scientific paper

10.1103/PhysRevE.56.231

We investigate sandpile models where the updating of unstable columns is done according to a stochastic rule. We examine the effect of introducing nonlocal relaxation mechanisms. We find that the models self-organize into critical states that belong to three different universality classes. The models with local relaxation rules belong to a known universality class that is characterized by an avalanche exponent $\tau \approx 1.55$, whereas the models with nonlocal relaxation rules belong to new universality classes characterized by exponents $\tau \approx 1.35$ and $\tau \approx 1.63$. We discuss the values of the exponents in terms of scaling relations and a mapping of the sandpile models to interface models.

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