Constant rate linear interface depinning and self organized criticality

TL;DR

This paper shows that various self-organized criticality models, including sandpile and Barkhausen effects, can be mapped onto a constant rate linear interface depinning model, revealing their shared universality class.

Contribution

It establishes a unified framework linking different SOC models to a single universality class through a linear interface depinning mapping.

Findings

Models belong to the same universality class of constant force depinning

The depinning transition occurs at a critical point with specific critical exponents

Results align with numerical simulations and experimental data

Abstract

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