Sandpiles, avalanches, and the statistical mechanics of nonequilibrium stationary states
- 1 May 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 47 (5) , 3099-3121
- https://doi.org/10.1103/physreve.47.3099
Abstract
The scaling properties of three nontrivial one-dimensional avalanche models are analyzed. The first two of them are the local limited model with one open, one closed, and with periodic boundary conditions, respectively. A theory for the scaling properties of these models based on the existence of two fundamental length scales, which diverge in the thermodynamic limit, is developed. The third model studied is a trapless version of the nonperiodic local limited model. We find that it is scale invariant. Our theoretical predictions are compared with extensive computer simulations in all three cases.Keywords
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