Phase separation and critical percolation in bidimensional spin-exchange models
Statistical Mechanics
2016-11-28 v2
Abstract
Binary mixtures prepared in an homogeneous phase and quenched into a two-phase region phase-separate via a coarsening process whereby domains of the two phases grow in time. With a numerical study of a spin-exchange model we show that this dynamics first takes a system with equal density of the two species to a critical percolation state. We prove this claim and we determine the time-dependence of the growing length associated to this process with the scaling analysis of the statistical and morphological properties of the clusters of the two phases.
Keywords
Cite
@article{arxiv.1607.04067,
title = {Phase separation and critical percolation in bidimensional spin-exchange models},
author = {Alessandro Tartaglia and Leticia F. Cugliandolo and Marco Picco},
journal= {arXiv preprint arXiv:1607.04067},
year = {2016}
}
Comments
6 pages, 9 figures