Universality Class of One-Dimensional Directed Sandpile Models
arXiv:cond-mat/0506746 · doi:10.1103/PhysRevE.72.066103
Abstract
A general n-state directed `sandpile' model is introduced. The stationary properties of the n-state model are derived for n < infty, and analytical arguments based on a central limit theorem show that the model belongs to the universality class of the totally asymmetric Oslo model, with a crossover to uncorrelated branching process behavior for small system sizes. Hence, the central limit theorem allows us to identify the existence of a large universality class of one-dimensional directed sandpile models.
4 pages, 2 figures
References in corpus (6)
- The abelian sandpile and related models
- Tracer Dispersion in a Self-Organized Critical System
- Transport in Sand Piles, Interface Depinning, and Earthquake Models
- Generic Sandpile Models Have Directed Percolation Exponents
- Anisotropy and universality: the Oslo model, the rice pile experiment and the quenched Edwards-Wilkinson equation
- Exact solution of the totally asymmetric Oslo model