English

Crossover behavior in interface depinning

Statistical Mechanics 2015-09-30 v2

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.

Keywords

Cite

@article{arxiv.1408.2080,
  title  = {Crossover behavior in interface depinning},
  author = {Y. J. Chen and Stefano Zapperi and James P. Sethna},
  journal= {arXiv preprint arXiv:1408.2080},
  year   = {2015}
}

Comments

6 figures. Revised version

R2 v1 2026-06-22T05:23:55.902Z