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BIBTEX RIS

Sandpiles with height restrictions

2002; American Physical Society; Volume: 66; Issue: 1 Linguagem: Inglês

10.1103/physreve.66.016111

ISSN

1538-4519

Autores

Ronald Dickman, Tânia Tomé, Mário J. de Oliveira,

Tópico(s)

Stochastic processes and statistical mechanics

Resumo

We study stochastic sandpile models with a height restriction in one and two dimensions. A site can topple if it has a height of two, as in Manna's model, but, in contrast to previously studied sandpiles, here the height (or number of particles per site), cannot exceed two. This yields a considerable simplification over the unrestricted case, in which the number of states per site is unbounded. Two toppling rules are considered: in one, the particles are redistributed independently, while the other involves some cooperativity. We study the fixed-energy system (no input or loss of particles) using cluster approximations and extensive simulations, and find that it exhibits a continuous phase transition to an absorbing state at a critical value zeta(c) of the particle density. The critical exponents agree with those of the unrestricted Manna sandpile.

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