Constant rate linear interface depinning and self organized criticality

The precise determination of the universality classes in self-organized critical phenomena (SOC) is still an unsolved problem. Different SOC models like sandpile, linear interface depinning, and the Barkhausen effect have been investigated independently. In the present work we demonstrate that these models can all be mapped into a linear interface depinning model driven at constant rate. The model is found to belong to the universality class of constant force linear interface depinning above the depinning transition, with an upper critical dimension d_c=4. Results are compared with numerical simulations, experiments, and previous theoretical works reported in the literature. In this way we demonstrate a precise connection between different SOC models which display the same universal beha