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arXiv · 1408.2080

Crossover behavior in interface depinning

Y. J. Chen·Stefano Zapperi·James P. Sethna
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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.

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Y. J. Chen, Stefano Zapperi, James P. Sethna. 2015-07-29. Crossover behavior in interface depinning. https://doi.org/10.1103/physreve.92.022146

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