Phase separation and critical percolation in bidimensional spin-exchange models

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.

6 pages, 9 figures

References in corpus (5)

• Recent advances in percolation theory and its applications
• Exact results for curvature-driven coarsening in two dimensions
• Domain growth morphology in curvature driven two dimensional coarsening
• Winding angle variance of Fortuin-Kasteleyn contours
• Persistence in the two dimensional ferromagnetic Ising model

Cited by in corpus (2)

• Quench dynamics of the three-dimensional U(1) complex field theory: geometric and scaling characterisation of the vortex tangle
• Critical percolation in the slow cooling of the bi-dimensional ferromagnetic Ising model