Anisotropy and universality: the Oslo model, the rice pile experiment and the quenched Edwards-Wilkinson equation

Abstract

We show that any amount of anisotropy moves the Oslo model to another known universality class, the exponents of which can be derived exactly. This amounts to an exact solution of the quenched Edwards-Wilkinson equation with a drift term. We argue that anisotropy is likely to be experimentally relevant and may explain why consistent exponents have not been extracted in the rice pile experiments.

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Cited by in corpus (10)

• The Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model
• Confirming and extending the hypothesis of universality in sandpiles
• Self-organized Criticality and Absorbing States: Lessons from the Ising Model
• One-Dimensional Directed Sandpile Models and the Area under a Brownian Curve
• Exact solution of the totally asymmetric Oslo model
• Avalanche Behavior in an Absorbing State Oslo Model
• Multiscaling in the sequence of areas enclosed by coalescing random walkers
• Universality Class of One-Dimensional Directed Sandpile Models
• The Edwards-Wilkinson equation with drift and Neumann boundary conditions
• Record breaking statistics near second order phase transitions