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arXiv · 0912.3166

Curvature-driven coarsening in the two dimensional Potts model

Marcos P. O. Loureiro·Jeferson J. Arenzon·Leticia F. Cugliandolo·Alberto Sicilia
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Abstract

We study the geometric properties of polymixtures after a sudden quench in temperature. We mimic these systems with the $q$-states Potts model on a square lattice with and without weak quenched disorder, and their evolution with Monte Carlo simulations with non-conserved order parameter. We analyze the distribution of hull enclosed areas for different initial conditions and compare our results with recent exact and numerical findings for $q=2$ (Ising) case. Our results demonstrate the memory of the presence or absence of long-range correlations in the initial state during the coarsening regime and exhibit super-universality properties.

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BibTeXRIS

Marcos P. O. Loureiro, Jeferson J. Arenzon, Leticia F. Cugliandolo, Alberto Sicilia. 2009-12-16. Curvature-driven coarsening in the two dimensional Potts model. https://doi.org/10.1103/physreve.81.021129

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