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

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

2001-01-24

arxiv.org/abs/cond-mat/0101381v1

Phys. Rev. E64, 056104 (2001)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 11 figures

Scientific paper

10.1103/PhysRevE.64.056104

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 $\zeta_c$ 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.

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