Volume 116, Number 2, October 2016
|Number of page(s)||7|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||22 November 2016|
Phase separation and critical percolation in bidimensional spin-exchange models
Université Pierre et Marie Curie - Paris 6, Laboratoire de Physique Théorique et Hautes Energies 4, Place Jussieu, Tour 13, 5ème étage, 75252 Paris Cedex 05, France
Received: 25 July 2016
Accepted: 7 November 2016
Binary mixtures prepared in a 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 take 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.
PACS: 64.60.Ht – Dynamic critical phenomena / 64.60.ah – Percolation / 64.60.De – Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.)
© EPLA, 2016
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