By studying numerically the phase-ordering kinetics of a two-dimensional ferromagnetic Ising model with quenched disorder -- either random bonds or random fields -- we show that a critical percolation structure forms in an early stage and is then progressively compactified by the ensuing coarsening process. Results are compared with the non-disordered case, where a similar phenomenon is observed, and interpreted within a dynamical scaling framework.
@article{arxiv.1611.04828,
title = {Coarsening and percolation in a disordered ferromagnet},
author = {Federico Corberi and Leticia F. Cugliandolo and Ferdinando Insalata and Marco Picco},
journal= {arXiv preprint arXiv:1611.04828},
year = {2017}
}