Crossover behavior in interface depinning

TL;DR

This paper investigates the crossover scaling behavior in interface depinning, analyzing experimental fracture data and elastic line simulations to understand transitions between universality classes.

Contribution

It introduces a general method to extract scaling properties in depinning systems with crossover phenomena, combining experimental data fitting and simulation analysis.

Findings

Experimental data shows crossover between universality classes.

Simulation results confirm the crossover behavior.

A multiparameter scaling function describes the transition.

Abstract

We study the crossover scaling behavior of the height-height correlation function in interface depinning in random media. We analyze experimental data from a fracture experiment and simulate an elastic line model with non-linear couplings and disorder. Both exhibit a crossover between two different universality classes. For the experiment, we fit a functional form to the universal crossover scaling function. For the model, we vary the system size and the strength of the non-linear term, and describe the crossover between the two universality classes with a multiparameter scaling function. Our method provides a general strategy to extract scaling properties in depinning systems exhibiting crossover phenomena.